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Dissertations / Theses on the topic 'Automorphisms'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Sutherland, David C. (David Craig). "Automorphism Groups of Strong Bruhat Orders of Coxeter Groups." Thesis, North Texas State University, 1986. https://digital.library.unt.edu/ark:/67531/metadc330906/.

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In this dissertation, we describe the automorphism groups for the strong Bruhat orders A_n-1, B_n, and D_n. In particular, the automorphism group of A_n-1 for n ≥ 3 is isomorphic to the dihedral group of order eight, D_4; the automorphism group of B_n for n ≥ 3 is isomorphic to C_2 x C_2 where C_2 is the cyclic group of order two; the automorphism group of D_n for n > 5 and n even is isomorphic to C_2 x C_2 x C_2; and the automorphism group of D_n for n ≥ 5 and n odd is isomorphic to the dihedral group D_4.

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2

Davies, D. H. "Automorphisms of designs." Thesis, University of East Anglia, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304043.

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3

Karlsson, Jesper. "Symplectic Automorphisms of C2n." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-144390.

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This essay is a detailed survey of an article from 1996 published by Franc Forstneric, where he studies symplectic automorphisms of C2n. The vision is to introduce the density property for holomorphic symplectic manifolds. Our idea is that of Dror Varolin when he in 2001 introduced the concept of density property for Stein manifolds. The main result here is the introduction of symplectic shears on C2n equipped with a holomorphic symplectic form and to show that the group generated by finite compositions of symplectic shears is dense in the group of symplectic automorphisms of C2n in the compac

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4

CARVALHO, LEONARDO NAVARRO DE. "GENERIC AUTOMORPHISMS OF HANDLEBODIES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2002. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=3970@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Automorfismos genéricos de cubos com alças (handlebodies) aparecem do estudo de classes the isotopia de automorfismos de variedades orientáveis de dimensão três. Automorfismos genéricos permanecem como uma das partes menos entendidas desse estudo.Dado um automorfismo genérico de um cubo com alças, é conhecida uma forma de se construir uma laminação bidimensional que é invariante pelo automorfismo. A essa laminação se associa um fator de crescimento. É sabido que, no caso de tal fator de crescimento ser minimal - uma cara

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5

Grossi, Annalisa <1992&gt. "Automorphisms of O'Grady's sixfolds." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amsdottorato.unibo.it/9441/1/Tesi%20Dottorato.pdf.

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We study automorphisms of irreducible holomorphic symplectic (IHS) manifolds deformation equivalent to the O’Grady’s sixfold. We classify non-symplectic and symplectic automorphisms using lattice theoretic criterions related to the lattice structure of the second integral cohomology. Moreover we introduce the concept of induced automorphisms. There are two birational models for O'Grady's sixfolds, the first one introduced by O'Grady, which is the resolution of singularities of the Albanese fiber of a moduli space of sheaves on an abelian surface, the second one which concerns in the quotient o

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6

Bonfanti, M. A. "ALGEBRAIC SURFACES WITH AUTOMORPHISMS." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/345557.

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In my thesis I worked on two different projects, both related with projective surfaces with automorphisms. In the first one I studied Abelian surfaces with an automorphism and quaternionic multiplication: this work has already been accepted for publication in the Canadian Journal of Mathematics. In the second project I treat surfaces isogenous to a product of curves and their cohomology. Abelian Surfaces with an Automorphism The Abelian surfaces, with a polarization of a fixed type, whose endomorphism ring is an order in a quaternion algebra are parametrized by a curve, called Shimura curve

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7

Fullarton, Neil James. "Palindromic automorphisms of free groups and rigidity of automorphism groups of right-angled Artin groups." Thesis, University of Glasgow, 2014. http://theses.gla.ac.uk/5323/.

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Let F_n denote the free group of rank n with free basis X. The palindromic automorphism group PiA_n of F_n consists of automorphisms taking each member of X to a palindrome: that is, a word on X that reads the same backwards as forwards. We obtain finite generating sets for certain stabiliser subgroups of PiA_n. We use these generating sets to find an infinite generating set for the so-called palindromic Torelli group PI_n, the subgroup of PiA_n consisting of palindromic automorphisms inducing the identity on the abelianisation of F_n. Two crucial tools for finding this generating set are a ne

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8

Tabbaa, Dima al. "On the classification of some automorphisms of K3 surfaces." Thesis, Poitiers, 2015. http://www.theses.fr/2015POIT2299/document.

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Un automorphisme non-symplectique d'ordre fini n sur une surface X de type K3 est un automorphisme σ ∈ Aut(X) qui satisfait σ*(ω) = λω où λ est une racine primitive n-ième de l'unité et ω est le générateur de H2,0(X). Dans cette thèse on s’intéresse aux automorphismes non-symplectiques d'ordre 8 et 16 sur les surfaces K3. Dans un premier temps, nous classifionsles automorphismes non-symplectiques σ d'ordre 8 quand le lieu fixe de sa quatrième puissance σ⁴ contient une courbe de genre positif, on montre plus précisément que le genre de la courbe fixée par σ est au plus un. Ensuite nous étudions

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9

Sebille, Michel. "Design :construction, automorphisms and colourings." Doctoral thesis, Universite Libre de Bruxelles, 2002. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211428.

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10

Bidwell, Jonni, and n/a. "Computing automorphisms of finite groups." University of Otago. Department of Mathematics & Statistics, 2007. http://adt.otago.ac.nz./public/adt-NZDU20070320.162909.

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In this thesis we explore the problem of computing automorphisms of finite groups, eventually focusing on some group product constructions. Roughly speaking, the automorphism group of a group gives the nature of its internal symmetry. In general, determination of the automorphism group requires significant computational effort and it is advantageous to find situations in which this may be reduced. The two main results give descriptions of the automorphism groups of finite direct products and split metacyclic p-groups. Given a direct product G = H x K where H and K have no common direct facto

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11

Kestner, Charlotte Hastings. "Measurability, modules and generic automorphisms." Thesis, University of Leeds, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.578647.

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Originally developed [17] as a generalization of dimension and measure on pseudofinite fields, MS-measurability is a relatively new concept in model theory. We look at MS-measurability in structures which already have a well-understood model theory. We also consider other notions of rank within these structures. Firstly, we show that for any module it suffices to put an MS-measuring function on the positive primitive subgroups for the whole structure to be MS-measurable. We give a precise classification of w-stable Abelian groups in terms of MS-measurability. We also show that in this context

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12

Webb, B. S. "Automorphisms of finite incidence structures." Thesis, University of East Anglia, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306212.

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13

Myhill, Richard Graham. "Automorphisms and twisted vertex operators." Thesis, Durham University, 1987. http://etheses.dur.ac.uk/6674/.

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This work is an examination of various aspects of twisted vertex operator representations of Kac-Moody algebras. It starts with an introduction to Kac-Moody algebras and string theories, including a discussion of the propagation of strings on orbifolds. String interactions in a subclass of such models naturally involve twisted vertex operators. The centrally extended loop algebra realization of Kac-Moody algebras is used to explain why the inequivalent gradations of basic representations of Kac-Moody algebras g(^r) associated with g are in one-to-one correspondence with the conjugacy classes o

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14

Brown, Christian. "Petit algebras and their automorphisms." Thesis, University of Nottingham, 2018. http://eprints.nottingham.ac.uk/49613/.

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15

Matthews, David. "Automorphisms of random recursive trees." Thesis, University of Southampton, 2017. https://eprints.soton.ac.uk/415900/.

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16

Lind, Andreas. "Holomorphic automorphisms of Danielewski surfaces." Doctoral thesis, Sundsvall : Dep. of Natural Sciences, Engineering and Mathematics, Mid Sweden University, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-10360.

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17

DOSE, VALERIO. "Modular Curves and their Automorphisms." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2015. http://hdl.handle.net/2108/202163.

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18

Aurand, Eric William. "Infinite Planar Graphs." Thesis, University of North Texas, 2000. https://digital.library.unt.edu/ark:/67531/metadc2545/.

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How many equivalence classes of geodesic rays does a graph contain? How many bounded automorphisms does a planar graph have? Neimayer and Watkins studied these two questions and answered them for a certain class of graphs. Using the concept of excess of a vertex, the class of graphs that Neimayer and Watkins studied are extended to include graphs with positive excess at each vertex. The results of this paper show that there are an uncountable number of geodesic fibers for graphs in this extended class and that for any graph in this extended class the only bounded automorphism is the identi

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19

Perepechko, Aleksandr. "Automorphismes des variétés affines." Thesis, Grenoble, 2013. http://www.theses.fr/2013GRENM065/document.

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La thèse se compose de deux parties. La première partie est consacrée aux transformations des algèbres de dimension finie. Il est facile de voir que le groupe d'automorphismes d'une algèbre de dimension finie est un groupe algébrique affine. N.L. Gordeev et V.L. Popov ont démontré que n'importe quel groupe algébrique affine est isomorphe au groupe d'automorphismes de l'algèbre de dimension finie. Utilisant l'approche similaire nous démontrons que tout monoïde affine peut être obtenue comme un monoïde des endomorphismes d'une algèbre de dimension finie. Ensuite, nous étudions la solvabilité des

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20

Popov, Vladimir L., and popov@ppc msk ru. "On Polynomial Automorphisms of Affine Spaces." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi938.ps.

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21

Wermer, Markus-Ludwig [Verfasser]. "Automorphisms of buildings / Markus-Ludwig Wermer." Gießen : Universitätsbibliothek, 2015. http://d-nb.info/1077438818/34.

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22

Griffin, James Thomas. "Automorphisms of free products of groups." Thesis, University of Cambridge, 2013. https://www.repository.cam.ac.uk/handle/1810/244265.

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The symmetric automorphism group of a free product is a group rich in algebraic structure and with strong links to geometric configuration spaces. In this thesis I describe in detail and for the first time the (co)homology of the symmetric automorphism groups. To this end I construct a classifying space for the Fouxe-Rabinovitch automorphism group, a large normal subgroup of the symmetric automorphism group. This classifying space is a moduli space of 'cactus products', each of which has the homotopy type of a wedge product of spaces. To study this space we build a combinatorial theory centred

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23

Laurence, Michael Rupen. "Automorphisms of graph products of groups." Thesis, Queen Mary, University of London, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412581.

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Let r be a graph with vertex set V and for every v E V let Gv be a group with present ation (Sv I Rv). Let E ~ V X V be the set of pairs of adj acent vertices. Then we define the group G = Gr to be the group with presentation G = (SvVv E VI R; Vv E V, [Sv, SVI] = 1 iff (v,v') E E). In [2, LEMMA 3.3] it is shown that up to isomorphism G is independent of the choice of presentation of each group Gv. We call the group G a graph product of groups. Graph products include as special cases free products and direct products, corresponding to the graph G being dixcrete and complete respectively. If the

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24

Saleh, Ibrahim A. "Cluster automorphisms and hyperbolic cluster algebras." Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14195.

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Doctor of Philosophy<br>Department of Mathematics<br>Zongzhu Lin<br>Let A[subscript]n(S) be a coefficient free commutative cluster algebra over a field K. A cluster automorphism is an element of Aut.[subscript]KK(t[subscript]1,[dot, dot, dot],t[subscript]n) which leaves the set of all cluster variables, [chi][subscript]s invariant. In Chapter 2, the group of all such automorphisms is studied in terms of the orbits of the symmetric group action on the set of all seeds of the field K(t[subscript]1,[dot,dot, dot],t[subscript]n). In Chapter 3, we set up for a new class of non-commutative algeb

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25

Toinet, Emmanuel. "Automorphisms of right-angled Artin groups." Thesis, Dijon, 2012. http://www.theses.fr/2012DIJOS003.

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Cette thèse a pour objet l’étude des automorphismes des groupes d’Artin à angles droits. Etant donné un graphe simple fini G, le groupe d’Artin à angles droits GG associé à G est le groupe défini par la présentation dont les générateurs sont les sommets de G, et dont les relateurs sont les commutateurs [v,w], où {v,w} est une paire de sommets adjacents. Le premier chapitre est conçu comme une introduction générale à la théorie des groupes d’Artin à angles droits et de leurs automorphismes. Dans un deuxième chapitre, on démontre que tout sous-groupe sous-normal d’indice une puissance de p d’un

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26

Praggastis, Brenda L. "Markov partitions for hyperbolic toral automorphisms /." Thesis, Connect to this title online; UW restricted, 1992. http://hdl.handle.net/1773/5773.

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27

Lee, Kyung Il. "Automorphisms and linearisations of computable orderings." Thesis, University of Leeds, 2011. http://etheses.whiterose.ac.uk/2166/.

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In this thesis, we study computable content of existing classical theorems on linearisations of partial orderings and automorphisms of linear orderings, and provide computational refinements in terms of the Ershov hierarchy. In Chapter 2, we examine questions as to the constructiveness of linearisations obtained in terms of the Ershov hierarchy, while respecting particular constraints. The main result here entails a proof that every computably well-founded computable partial ordering has a computably well-founded ω-c.e. linear extension. In Chapter 3, we examine questions as to how less constr

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28

Nguyen, Aude. "Constructions and automorphisms of Kac-Moody groups." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210072.

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Les travaux de Killing et Cartan ont montré la correspondance entre les algèbres de Lie semi-simples complexes et les matrices de Cartan. Ces dernières sont des matrices sur les entiers satisfaisants certaines propriétés, parmi lesquelles une condition de positivité. Si cette condition est omise, on obtient une matrice de Cartan généralisée. On peut y étendre la présentation de Serre pour les algèbre de Lie semi-simples et obtenir les algèbres de Kac-Moody. <p>L'intérêt de l'étude des algèbres de Lie semi-simples réside dans le fait qu'elles induisent la plupart des groupes simples finis, comm

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29

Brewis, Louis Hugo. "Automorphisms of curves and the lifting conjecture." Thesis, Link to the online version, 2005. http://hdl.handle.net/10019/1050.

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30

Joumaah, Malek [Verfasser]. "Automorphisms of irreducible symplectic manifolds / Malek Joumaah." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2015. http://d-nb.info/1068920580/34.

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31

Schlemmer, Tobias. "Annotating Lattice Orbifolds with Minimal Acting Automorphisms." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-96517.

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Context and lattice orbifolds have been discussed by M. Zickwolff, B. Ganter and D. Borchmann. Preordering the folding automorphisms by set inclusion of their orbits gives rise to further development. The minimal elements of this preorder have a prime group order and any group element can be dissolved into the product of group elements whose group order is a prime power. This contribution describes a way to compress an orbifold annotation to sets of such minimal automorphisms. This way a hierarchical annotation is described together with an interpretation of the annotation. Based on this anno

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32

Knipe, David Michael. "Automorphisms of the countable generic partial order." Thesis, University of Leeds, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.493772.

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The countable generic partial order (P, <) is defined to be the Fraisse limit of the class of finite partially ordered sets. It occurred as part of Schmerl's classification of countable homogeneous partial orders (see [5]). In this thesis I study its automorphisms.

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33

Brightwell, Mark. "Lattices and automorphisms of compact complex manifolds." Thesis, University of Glasgow, 1999. http://theses.gla.ac.uk/2803/.

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This work makes use of well-known integral lattices to construct complex algebraic varieties reflecting properties of the lattices. In particular the automorphism groups of the lattices are closely related to the symmetries of varieties. The constructions are to two types: generalised Kummer manifolds and toric varieties. In both cases the examples are of the most interest. A generalised Kummer manifold is the resolution of the quotient of a complex torus by some finite group G. A description of the construction for certain cyclic groups G by given in terms of holomorphic surgery of disc bundl

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34

Watson, Paul Daniel. "Symmetries and automorphisms of compact Riemann surfaces." Thesis, University of Southampton, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294489.

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35

Gagnon-Bischoff, Jérémie. "Approximately Inner Automorphisms of von Neumann Factors." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/41879.

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Through von Neumann's reduction theory, the classification of injective von Neumann algebras acting on separable Hilbert spaces translates into the classification of injective factors. In his proof of the uniqueness of the injective type II₁ factor, Connes showed an alternate characterization of the approximately inner automorphisms of type II₁ factors. Moreover, he conjectured that this characterization could be extended to all types of factors acting on separable Hilbert spaces. In this thesis, we present a general toolbox containing the basic notions needed to study von Neumann algebras, be

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36

Schlemmer, Tobias. "Annotating Lattice Orbifolds with Minimal Acting Automorphisms." Technische Universität Dresden, 2012. https://tud.qucosa.de/id/qucosa%3A26138.

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Context and lattice orbifolds have been discussed by M. Zickwolff, B. Ganter and D. Borchmann. Preordering the folding automorphisms by set inclusion of their orbits gives rise to further development. The minimal elements of this preorder have a prime group order and any group element can be dissolved into the product of group elements whose group order is a prime power. This contribution describes a way to compress an orbifold annotation to sets of such minimal automorphisms. This way a hierarchical annotation is described together with an interpretation of the annotation. Based on this anno

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37

Coleman, Thomas. "Automorphisms and endomorphisms of first-order structures." Thesis, University of East Anglia, 2017. https://ueaeprints.uea.ac.uk/64074/.

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In this thesis, we consider questions relating to automorphisms and endomorphisms of countable, relational first-order structures M, with a particular emphasis on bimorphism monoids. We determine semigroup-theoretic results for three types of endomorphism monoid onM, along with generation results whenMis the random graph R or the discrete linear order (N;_). In addition, we introduce three types of partial map monoid ofM, and prove some semigroup-theoretic and generation results in these cases. We introduce the idea of a permutation monoid, and characterise the closed submonoids of the infinit

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38

Chrétien, Pierre. "Groupes d’Inertie et Variétés Jacobiennes." Thesis, Bordeaux 1, 2013. http://www.theses.fr/2013BOR14785/document.

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Soient k un corps algébriquement clos de caractéristique p > 0 et C/k une courbe projective, lisse, intègre de genre g > 1 munie d’un p-groupe d’automorphismes G tel que |G| > 2p/(p-1)g. Le couple (C,G) est appelé grosse action. Si (C,G) est une grosse action, alors |G| <=4p/(p-1)^2g^2 (*). Dans cette thèse, nous étudions les répercussions arithmétiques des propriétés géométriques de grosses actions. Nous étudions d’abord l’arithmétique de l’extension de monodromie sauvage maximale de courbes sur un corps local K d’inégale caractéristique p à corps résiduel algébriquement clos, de

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39

Donoso, Sebastian Andres. "Contributions to ergodic theory and topological dynamics : cube structures and automorphisms." Thesis, Paris Est, 2015. http://www.theses.fr/2015PEST1007/document.

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Cette thèse est consacrée à l'étude des différents problèmes liés aux structures des cubes , en théorie ergodique et en dynamique topologique. Elle est composée de six chapitres. La présentation générale nous permet de présenter certains résultats généraux en théorie ergodique et dynamique topologique. Ces résultats, qui sont associés d'une certaine façon aux structures des cubes, sont la motivation principale de cette thèse. Nous commençons par les structures de cube introduites en théorie ergodique par Host et Kra (2005) pour prouver la convergence dans $L^2 $ de moyennes ergodiques multiple

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40

梁以豪 and Yee-ho Genthew Leung. "Results related to the embedding conjecture." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B3122474X.

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41

Leung, Yee-ho Genthew. "Results related to the embedding conjecture." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22713396.

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42

Hall, Toby Dixon Harold. "Periodicity in chaos : the dynamics of surface automorphisms." Thesis, University of Cambridge, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387125.

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43

Yasemin, Talu E. "p-groups of automorphisms of compact Riemann surfaces." Thesis, University of Aberdeen, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357987.

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44

Cattaneo, Alberto. "Non-symplectic automorphisms of irreducible holomorphic symplectic manifolds." Thesis, Poitiers, 2018. http://www.theses.fr/2018POIT2322/document.

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Nous allons étudier les automorphismes des variétés symplectiques holomorphes irréductibles de type K3^[n], c'est-à-dire des variétés équivalentes par déformation au schéma de Hilbert de n points sur une surface K3, pour n > 1.Dans la première partie de la thèse, nous classifions les automorphismes du schéma de Hilbert de n points sur une surface K3 projective générique, dont le réseau de Picard est engendré par un fibré ample. Nous montrons que le groupe des automorphismes est soit trivial soit engendré par une involution non-symplectique et nous déterminons des conditions numériques et gé

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45

Shi, Yi. "Perturbations of partially hyperbolic automorphisms on Heisenberg nilmanifold." Thesis, Dijon, 2014. http://www.theses.fr/2014DIJOS048/document.

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Dans cette thèse, nous démontrons que les automorphismes partiellement hyperboliques dela nilvariété non Abélienne de dimension 3 peuvent tous être approchés dans la topologie C1 pardes difféomorphismes structurellement stables, chacun possédant un attracteur et un répulseurcomme seuls ensembles récurrents par chaîne. Cela implique que ces automorphismes partiellementhyperboliques ne sont pas robustement transitifs. Nos constructions des attracteurset répulseurs requiérent une analyse des structures de contact invariantes, et des sections deBirkhoff invariante à isotopie dans les fibres près p

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46

Hummel, Timo [Verfasser]. "Automorphisms of rational projective K*-surfaces / Timo Hummel." Tübingen : Universitätsbibliothek Tübingen, 2021. http://d-nb.info/1228858241/34.

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47

Basson, Dirk (Dirk Johannes). "Parametrizing finite order automorphisms of power series rings." Thesis, Stellenbosch : University of Stellenbosch, 2010. http://hdl.handle.net/10019.1/5243.

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Thesis (MSc (Mathematics))--University of Stellenboswch, 2010.<br>ENGLISH ABSTRACT: In the work of Green and Matignon it was shown that the Oort-Sekiguchi conjecture is equivalent to a local question of lifting automorphisms of power series rings. The Oort-Sekiguchi conjecture asks when an algebraic curve in characteristic p can be lifted to a relative curve in characteristic 0, while keeping the same automorphism group. The local formulation asks when an automorphism of a power series ring over a field k of characteristic p can be lifted to an automorphism of a power series ring over a

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48

Derakhshan, Parisa. "Automorphisms generating disjoint Hamilton cycles in star graphs." Thesis, Loughborough University, 2015. https://dspace.lboro.ac.uk/2134/16779.

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In the first part of the thesis we define an automorphism φn for each star graph Stn of degree n-1, which yields permutations of labels for the edges of Stn taken from the set of integers {1,..., [n/2c]}. By decomposing these permutations into permutation cycles, we are able to identify edge-disjoint Hamilton cycles that are automorphic images of a known two-labelled Hamilton cycle H1 2(n) in Stn. The search for edge-disjoint Hamilton cycles in star graphs is important for the design of interconnection network topologies in computer science. All our results improve on the known bounds for numb

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49

Costantini, Mauro. "On the lattice automorphisms of certain algebraic groups." Thesis, University of Warwick, 1989. http://wrap.warwick.ac.uk/101705/.

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In the first chapter we give an introduction, and a survey of known results, which we shall use throughout the dissertation. In the second chapter we first prove that every projectivity of a connected reductive non-abelian algebraic group G over K = Fp is strictly index-preserving (Theorem 2.1.6.). Then we prove that every autoprojectivity of G induces an automorphism of the building canonically associated to O. Furthermore we show how certain autoprojectivities of G act on the Weyl group of G and on the Dynkin diagram of G. In the third chapter we restrict our attention to simple algebraic gr

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50

Saleh, Bashar. "Formality and homotopy automorphisms in rational homotopy theory." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-160835.

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This licentiate thesis consists of two papers treating subjects in rational homotopy theory. In Paper I, we establish two formality conditions in characteristic zero. We prove that adg Lie algebra is formal if and only if its universal enveloping algebra is formal. Wealso prove that a commutative dg algebra is formal as a dg associative algebra if andonly if it is formal as a commutative dg algebra. We present some consequences ofthese theorems in rational homotopy theory. In Paper II, we construct a differential graded Lie model for the universal cover of the classifying space of the grouplik

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