Relevant bibliographies by topics / Bass-Serre

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Bass-Serre'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Bass-Serre"

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Rimlinger, Frank. "Pregroups and Bass-Serre theory." Memoirs of the American Mathematical Society 65, no. 361 (1987): 0. http://dx.doi.org/10.1090/memo/0361.

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Armstrong, M. A. "A presentation for a group of automorphisms of a simplicial complex." Glasgow Mathematical Journal 30, no. 3 (1988): 331–37. http://dx.doi.org/10.1017/s0017089500007424.

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The Bass–Serre theorem supplies generators and relations for a group of automorphisms of a tree. Recently K. S. Brown [2] has extended the result to produce a presentation for a group of automorphisms of a simply connected complex, the extra ingredient being relations which come from the 2-cells of the complex. Suppose G is the group, K the complex and L the 1-skeleton of K. Then an extension of π1(L) by G acts on the universal covering space of L (which is of course a tree) and Brown's technique is to apply the work of Bass and Serre to this action. Our aim is to give a direct elementary proo
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Mahmud, R. M. S. "Presentation of groups acting on trees with inversions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 113, no. 3-4 (1989): 235–41. http://dx.doi.org/10.1017/s0308210500024100.

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4

Chifan, Ionut, and Cyril Houdayer. "Bass-Serre rigidity results in von Neumann algebras." Duke Mathematical Journal 153, no. 1 (2010): 23–54. http://dx.doi.org/10.1215/00127094-2010-020.

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KIDA, YOSHIKATA. "Examples of amalgamated free products and coupling rigidity." Ergodic Theory and Dynamical Systems 33, no. 2 (2012): 499–528. http://dx.doi.org/10.1017/s0143385711000964.

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AbstractWe present amalgamated free products satisfying coupling rigidity with respect to the automorphism group of the associated Bass–Serre tree. As an application, we obtain orbit equivalence rigidity for amalgamated free products of mapping class groups.
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Hasegawa, Kei. "Bass–Serre Trees of Amalgamated Free Product C*-algebras." International Mathematics Research Notices 2019, no. 21 (2018): 6529–53. http://dx.doi.org/10.1093/imrn/rnx312.

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Abstract For any reduced amalgamated free product C*-algebra (A, E) = (A1, E1) *D(A2, E2), we introduce and study a canonical ambient C*-algebra ΔT (A, E) of A which generalizes the crossed product arising from the canonical action of an amalgamated free product group on the compactification of the associated Bass–Serre tree. Using an explicit identification of ΔT (A, E) with a Cuntz–Pimsner algebra we prove two kinds of “amenability” results for ΔT (A, E); nuclearity and universality. As applications of our framework, we provide new conceptual, and simpler proofs of several known theorems on
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Proskurin, N. V. "Automorphic functions and the Bass-Milnor-Serre homomorphism, I." Journal of Soviet Mathematics 29, no. 2 (1985): 1160–91. http://dx.doi.org/10.1007/bf02106873.

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Proskurin, N. V. "Automorphic functions and the Bass-Milnor-Serre homomorphism, II." Journal of Soviet Mathematics 29, no. 2 (1985): 1192–219. http://dx.doi.org/10.1007/bf02106874.

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9

Ducos, Lionel. "Sur les théorèmes de Serre, Bass et Forster–Swan." Comptes Rendus Mathematique 339, no. 8 (2004): 539–42. http://dx.doi.org/10.1016/j.crma.2004.09.010.

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Kochloukova, D. H., and C. Martínez-Pérez. "Bass-Serre theory for Lie algebras: A homological approach." Journal of Algebra 585 (November 2021): 143–75. http://dx.doi.org/10.1016/j.jalgebra.2021.06.001.

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Dissertations / Theses on the topic "Bass-Serre"

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Sarr, Ndeye Coumba. "Théorie de Bass-Serre profinie." Thesis, Normandie, 2020. http://www.theses.fr/2020NORMC216.

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La théorie de Bass-Serre a été développée en 1970 par Jean-Pierre Serre, dans [Ser77]. Elle a pour motivation principale d'étudier la structure des sous-groupes discrets et sans torsion de SL2(Qp), plus précisément le théorème d'Ihara suivant lequel ces sous-groupes sont libres. S'inspirant de la topologie notamment de la théorie des revêtements, il devient alors plus naturel, explique J-P Serre de montrer la liberté d'un groupe en le faisant agir librement sur un arbre. Il en déduit ainsi une preuve simple et élégante de ce théorème jugé mystérieux et permet de généraliser plusieurs résultats
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Shumway, Alexander Jin. "Adding Limit Points to Bass-Serre Graphs of Groups." BYU ScholarsArchive, 2018. https://scholarsarchive.byu.edu/etd/6954.

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We give a brief overview of Bass-Serre theory and introduce a method of adding a limit point to graphs of groups. We explore a basic example of this method, and find that while the fundamental theorem of Bass-Serre theory no longer applies in this case we still recover a group action on a covering space of sorts with a subgroup isomorphic to the fundamental group of our new base space with added limit point. We also quantify how much larger the fundamental group of a graph of groups becomes after this construction, and discuss the effects of adding and identifying together such limit points in
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3

Norte, Eliana Vieira. "Aplicações da teoria de bass-serre : endomorfismos injetivos de grupos de baumslag-solitar." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306928.

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Orientador: Dessislava H. Kochloukova<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-05T20:51:24Z (GMT). No. of bitstreams: 1 Norte_ElianaVieira_M.pdf: 1155254 bytes, checksum: cc4bea0f77a79d67e969652289584764 (MD5) Previous issue date: 2006<br>Resumo: Nessa dissertação estudamos a teoria de Bass-Serre que liga grupos que agem sobre árvores em grupos fundamentais de grafos de grupos. Para desenvolver essa teoria primeiramente estudamos conceitos básicos como: grupos livres, pro
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Khélif, Anatole. "Generalisation du theoreme de bass-milnor-serre au cas d'anneaux d'entiers non-standards." Paris 7, 1990. http://www.theses.fr/1990PA077052.

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Soit q le corps des fractions d'un modele de l'arithmetique de peano, k une extension finie de q, a l'anneau des entiers sur k, n un entier superieur ou egal a 3. Si k admet un conjugue totalement ordonne (ce qui arrive sinon sera etudie en detail), nous montrerons que tout sous-groupe d'indice fini de sln(a) est un groupe de congruence
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Alvarez, Aurélien. "Une théorie de Bass-Serre pour les relations d'équivalence et les groupoïdes boréliens." Lyon, École normale supérieure (sciences), 2008. http://www.theses.fr/2008ENSL0458.

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Onório, Ana Cláudia Lopes 1989. "Propriedades homológicas de produtos subdiretos de grupos limites." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306923.

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Orientador: Dessislava Hristova Kochloukova<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-24T15:38:10Z (GMT). No. of bitstreams: 1 Onorio_AnaClaudiaLopes_M.pdf: 2325797 bytes, checksum: e0938ac85576f21ee8723d0aab2b0475 (MD5) Previous issue date: 2014<br>Resumo: Estudamos o tipo homológico FPs de produtos subdiretos de grupos limites seguindo resultados de Bridson, Howie, Miller, Short. Desenvolvemos teoria de grupos limites usando como ferramenta homologia algébrica e teoria ge
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Ye, Kaidi. "Automorphismes géométriques des groupes libres : croissance polynomiale et algorithmes." Thesis, Aix-Marseille, 2016. http://www.theses.fr/2016AIXM4713/document.

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Un automorphisme (extérieur) $phi $ d'un groupe libre $F_n$ de rang fini $ngeq 2$ est dit géométrique s'il est induit par un homéomorphisme d'une surface. La question à laquelle nous intéressons est la suivante: Quels sont les automorphismes de $F_n$ qui sont géométriques?Nous donnons une réponse algorithmique pour la classe des automorphismes à croissance polynomiale (en s'autorisant à remplacer un automorphisme par une puissance).Pour cela, nous sommes amenés à étudier les automorphismes de graphes de groupes. En particulier, nous introduisons deux transformations élémentaires d'automorphism
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Castel, Fabrice. "Centralisateurs d'éléments dans les PD(3)-paires." Toulouse 3, 2004. http://www.theses.fr/2004TOU30178.

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Un groupe à dualité de Poincaré de dimension n ( dit groupe PD(n)) est un groupe ayant des propriétés homologiques analogues à celles du groupe fondamental d'une variété de dimension n fermée et asphérique. Un groupe PD(2) est toujours isomorphe au groupe fondamental d'une surface fermée. Pour
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Kelvey, Robert J. Kelvey. "Properties of groups acting on Twin-Trees and Chabauty space." Bowling Green State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1479423366082688.

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Carette, Mathieu. "The automorphism group of accessible groups and the rank of Coxeter groups." Doctoral thesis, Universite Libre de Bruxelles, 2009. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210261.

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Cette thèse est consacrée à l'étude du groupe d'automorphismes de groupes agissant sur des arbres d'une part, et du rang des groupes de Coxeter d'autre part.<p><p>Via la théorie de Bass-Serre, un groupe agissant sur un arbre est doté d'une structure algébrique particulière, généralisant produits amalgamés et extensions HNN. Le groupe est en fait déterminé par certaines données combinatoires découlant de cette action, appelées graphes de groupes. <p><p>Un cas particulier de cette situation est celle d'un produit libre. Une présentation du groupe d'automorphisme d'un produit libre d'un nombre fi
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Books on the topic "Bass-Serre"

1

Pregroups and Bass-Serre theory. American Mathematical Society, 1987.

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2

1966-, Sageev Michah, and Whyte Kevin 1970-, eds. Quasi-actions on trees II: Finite depth Bass-Serre trees. American Mathematical Society, 2011.

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Book chapters on the topic "Bass-Serre"

1

Diekert, Volker, and Armin Weiß. "Context-Free Groups and Bass–Serre Theory." In Advanced Courses in Mathematics - CRM Barcelona. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-60940-9_2.

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2

"BASS-SERRE THEORY." In Combinatorial Group Theory. Cambridge University Press, 1989. http://dx.doi.org/10.1017/cbo9780511565878.009.

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3

"The Borel Construction and Bass-Serre Theory." In Graduate Texts in Mathematics. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-74614-2_6.

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