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Dissertations / Theses on the topic 'Divisible group'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Henniges, Alex Jay. "Kisin-Ren Classification of ϖ-divisible O-modules via the Dieudonné Crystal". Diss., The University of Arizona, 2016. http://hdl.handle.net/10150/613179.

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Let k be a perfect field of characteristic p > 2 and K a totally ramified extension of K₀ = Frac W(k) with uniformizer π. Let F ⊆ K be a subfield with ϖ, ring of integers O, and residue field k(F) ⊆ k with |k(F)| = q. Let W(F) = O⊗(W(k(F))) W(k) and consider the ring 𝔖 = W(F)⟦u⟧ with an endomorphism φ that lifts the q-power Frobenius of k on W(F) and satisfies φ(u) ≡ u^q mod ϖ and φ(u) ≡ 0 mod u. In this dissertation, we use O-divided powers to define the analogue of Breuil-Kisin modules over the rings 𝔖 and S, where S is an O-divided power envelope of the surjection 𝔖 ↠ O(K) sending u to π. W

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2

Sun, Michael. "The Tracial Rokhlin Property for Countable Discrete Amenable Group Actions on Nuclear Tracially Approximately Divisible C*-Algebras." Thesis, University of Oregon, 2014. http://hdl.handle.net/1794/18368.

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In this dissertation we explore the question of existence of a property of group actions on C*-algebras known as the tracial Rokhlin property. We prove existence of the property in a very general setting as well as specialise the question to specific situations of interest. For every countable discrete elementary amenable group G, we show that there always exists a G-action ω with the tracial Rokhlin property on any unital simple nuclear tracially approximately divisible C*-algebra A. For the ω we construct, we show that if A is unital simple and Z-stable with rational tracial rank at most

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3

Chen, Miaofen. "Le morphisme déterminant pour les espaces de modules de groupes p-divisibles." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00594110.

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Soit \M un espace de modules de groupes p-divisibles introduit par Rapoport et Zink. Supposons que cet espace \M soit non-ramifié de type EL ou PEL unitaire ou symplectique. Soit \Mrig la fibre générique de Berthelot de \M. C'est un espace rigide analytique au-dessus duquel il existe une tour de revêtements étales finis (\M_K)_K qui classifient les structures de niveau. On définit un morphisme déterminant \det_K de la tour (\M_K)_K vers une tour d'espaces rigides analytiques étales de dimension 0 associée au cocentre du groupe réductif relié à cet espace. C'est un analogue local en des places

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4

PISANI, FABIO. "Three essays on credit management." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2009. http://hdl.handle.net/2108/1123.

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Nel primo articolo si dimostra che, con contratti standard di debito, ammontare del prestito e profitti del debitore non variano sia quando si tratta di un prestito individuale o di un prestito di gruppo con penalità congiunta, poiché l'effetto positivo del secondo schema sul rischio della banca (e il tasso debitore) è compensato dalla penale congiunta sui debitori. E’ stato anche dimostrato che il prestito partecipato (debito più utili) che riduce i tassi di interesse (rispetto ai contratti di debito standard) genera maggiore richiesta di debito e output, ma inferiori profitti per il debi

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5

Wang, Xiaowei. "Weighted Optimality of Block Designs." Diss., Virginia Tech, 2009. http://hdl.handle.net/10919/26168.

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Design optimality for treatment comparison experiments has been intensively studied by numerous researchers, employing a variety of statistically sound criteria. Their general formulation is based on the idea that optimality functions of the treatment information matrix are invariant to treatment permutation. This implies equal interest in all treatments. In practice, however, there are many experiments where not all treatments are equally important. When selecting a design for such an experiment, it would be better to weight the information gathered on different treatments according to their

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6

Guimarães, Bruno Formiga. "Extensões de Homomorfismos de Subgrupos a Endomorfismos do Grupo." Universidade Federal da Paraíba, 2010. http://tede.biblioteca.ufpb.br:8080/handle/tede/7463.

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Made available in DSpace on 2015-05-15T11:46:25Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 450936 bytes, checksum: 7e53189000f5416171ee58a4623b8aa6 (MD5) Previous issue date: 2010-02-09<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Bertholf and Walls provided a characterization for the class of groups quasi-injective finite. Furthermore, Juriaans, Bastos Azevedo and give a rating for the injective type groups, which are a distinct class of the former despite being quite close.<br>Bertholf e Walls forneceram uma caracterização para a classe de grupos quasi-

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7

Tian, Yichao. "Sous-groupe canonique et monodromie p-adique des groupes de Barsotti-Tate." Paris 13, 2007. http://www.theses.fr/2007PA132021.

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Cette thèse est consacrée à deux problèmes indépendants sur les groupes de Barsotti-Tate. Dans la première partie de cette thèse, on considère un groupe de Barsotti-Tate trouqué d'échelons 1, noté G sur un trait de caractéristiques mixtes et à corps résiduel parfait. On s'intéresse à l'existence du sous-groupe canonique de G, i,e. Un relèvement canonique du noyau de Frobenius de la fibre spéciale de G. Si G est "proche d'être ordinaire", une condition qui peut être exprimée explicitement en terme de la valuation de certain déterminant, je montre que certain cran de la filtration canonique deG,

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8

Hernandez, Valentin. "Géométrie p-adique des variétés de Shimura de type P.E.L et familles de formes automorphes." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066041.

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Dans cette thèse nous étudions les propriétés p-adiques des variétés de Shimura de type P.E.L qui ont bonne réduction en p et pour lesquelles le lieu ordinaire est vide. Dans un premier chapitre on construit des invariants qui découpent dans les variétés de Shimura un ouvert dense, le lieu mu-ordinaire, et nous étudions les propriétés géométriques de ces invariants. Dans le second chapitre nous étendons au cas mu-ordinaire la théorie du sous-groupe canonique, et construisons donc pour des familles de groupes p-divisibles “presque” mu-ordinaire une filtration canonique de la p^n-torsion. Cela s

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9

Marrama, Andrea [Verfasser], and Ulrich [Akademischer Betreuer] Görtz. "Hodge-Newton filtration for p-divisible groups with quadratic ramified endomorphism structure / Andrea Marrama ; Betreuer: Ulrich Görtz." Duisburg, 2020. http://d-nb.info/1216038872/34.

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10

Shen, Xu. "Filtrations de Hodge-Newton, décomposition cellulaire et cohomologie de certains espaces de modules p-adiques." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00764117.

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Dans cette thèse, nous étudions la géométrie analytique p-adique et la cohomologie l-adique de certains espaces de Rapoport-Zink, en utilisant la théorie des filtrations de Harder-Narasimhan des schémas en groupes finis et plats élaborée par Fargues.Cette thèse se compose de trois parties. La première partie traite de certains espaces de Rapoport-Zink non-basiques, qui satisfont à la condition que leur polygone de Newton et polygone de Hodge ont un point de contact non-trivial, qui est un point de rupture pour le polygone de Newton. Sous cette hypothèse, nous prouvons que ces espaces de Rapopo

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11

Cébron, Guillaume. "Processus sur le groupe unitaire et probabilités libres." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066380/document.

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Cette thèse est consacrée à l'étude asymptotique d'objets liés au mouvement brownien sur le groupe unitaire en grande dimension, ainsi qu'à l'étude, dans le cadre des probabilités libres, des versions non-commutatives de ces objets. Elle se subdivise essentiellement en trois parties.Dans le chapitre 2, nous résolvons le problème initial de cette thèse, à savoir la convergence de la transformation de Hall sur le groupe unitaire vers la transformation de Hall libre, lorsque la dimension tend vers l'infini. Pour résoudre ce problème, nous établissons des théorèmes d'existence de noyaux de transit

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12

Fink, Elena [Verfasser], Torsten [Akademischer Betreuer] Wedhorn, and Eike [Akademischer Betreuer] Lau. "Moduli spaces of p-divisible groups of dimension 2 and height h with h odd / Elena Fink. Betreuer: Torsten Wedhorn ; Eike Lau." Paderborn : Universitätsbibliothek, 2011. http://d-nb.info/1036553329/34.

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13

Zhang, Haonan. "Some problems in noncommutative analysis." Thesis, Bourgogne Franche-Comté, 2019. http://www.theses.fr/2019UBFCD043.

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Cette thèse de doctorat est consacrée à l'étude de quelques problèmes en analyse non commutative. Elle comprend quatre parties, allant des groupes quantiques et de l'analyse harmonique non commutative à l'information quantique. Tout d'abord, nous déterminons les états idempotents sur les groupes quantiques de Sekine, ce qui est obtenu en résolvant un système d'équations à l'aide de l'algèbre linéaire et de la théorie des nombres élémentaire. Ceci répond à une question de Franz et Skalski énoncée en 2009. Deuxièmement, nous étudions les états infiniment divisibles sur des groupes quantiques fin

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14

Galiay, Blandine. "Geometry of proper domains in flag manifolds." Electronic Thesis or Diss., université Paris-Saclay, 2025. http://www.theses.fr/2025UPASM017.

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La géométrie projective convexe est l'étude des ouverts proprement convexes de l'espace projectif réel et de leurs quotients par des groupes discrets d'automorphismes projectifs. Elle contient la géométrie hyperbolique, en considérant le modèle de Klein de l'espace hyperbolique réel. Le cas où le quotient est compact s'inscrit dans la théorie des convexes divisibles, qui est développée depuis les années 1960 (par exemple par Benoist) et a produit de nombreux exemples, y compris non symétriques. En demandant que le groupe discret n'agisse plus cocompactement mais convexe cocompactement, on obti

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15

Tsai, Pai-Jen, and 蔡百仁. "A construction of group divisible designs." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/76yvc2.

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碩士<br>國立高雄大學<br>應用數學系碩士班<br>104<br>This thesis gives a construction of group divisible designs with block sizes 3; 4; 5 and 6 respectively. This work is motivated from the decoding of binary quadratic residue codes. Furthermore, we present these results in a table and propose a conjecture for this construction of group divisible designs with larger block sizes.

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16

Szu-En, Cheng, and 鄭斯恩. "Some Matrix Constructions of Group Divisible Designs." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/06798938925518826431.

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碩士<br>國立政治大學<br>應用數學研究所<br>81<br>In this thesis we use matrices to construct group divisible designs (GDDs). We list two type of constructions, the first type is -- due to W.H. Heamers -- A .crtimes. J + I .crtimes. D and use this construction we classify all the (m,n,k,. lambda.1, .lambda.2) GDD with r - .lambda.1 = 1 in three classes according to (i) A = 0 or J-I, (ii) A is the adjacency matrix of a strongly regular graph with .mu. - .lambda. = 1, (iii) J - 2A is the core of a skew-symm

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17

Francetic, Nevena. "Covering Arrays with Row Limit." Thesis, 2012. http://hdl.handle.net/1807/34006.

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Covering arrays with row limit, CARLs, are a new family of combinatorial objects which we introduce as a generalization of group divisible designs and covering arrays. In the same manner as their predecessors, CARLs have a natural application as combinatorial models for interaction test suites. A CARL(N;t,k,v:w), is an N×k array with some empty cells. A component, which is represented by a column, takes values from a v-set called the alphabet. In each row, there are exactly w non-empty cells, that is the corresponding components have an assigned value from the alphabet. The parameter w is call

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18

Niezen, Joanna. "Sarvate-beam group divisible designs and related multigraph decomposition problems." Thesis, 2020. http://hdl.handle.net/1828/12160.

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A design is a set of points, V, together with a set of subsets of V called blocks. A classic type of design is a balanced incomplete block design, where every pair of points occurs together in a block the same number of times. This ‘balanced’ condition can be replaced with other properties. An adesign is a design where instead every pair of points occurs a different number of times together in a block. The number of times a specified pair of points occurs together is called the pair frequency. Here, a special type of adesign is explored, called a Sarvate-Beam design, named after its founder

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19

Chan, Justin. "Asymptotic existence results on specific graph decompositions." Thesis, 2010. http://hdl.handle.net/1828/2909.

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This work examines various asymptotic edge-decomposition problems on graphs. A G-group divisible design (G-GDD) of type [g_1, ..., g_u] and index lambda is a decomposition of the edges of the complete lambda-fold multipartite graph H, with groups (maximal independent sets) G_1, ..., G_n, |G_i| = g_i, into graphs (blocks) isomorphic to G. We shall also examine special types of G-GDDs (such as G-frames) and prove that, given all parameters except u, these structures exist for all asymptotically large u satisfying the necessary conditions. Our primary technique is to invoke a useful theorem of La

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20

Chiang-Hsieh, Liang-Chou, and 江謝良州. "A survey of p-divisible groups." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/39633740935942648473.

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碩士<br>臺灣大學<br>數學研究所<br>98<br>In the first part, we will give the definitions, examples and some theorems of p-divisible groups. In the second part, we will obtain the Hodge-Tate decomposition of the Tate module of a p-divisible group over a certain ring.

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21

Frimu, Andrei. "Γ(p)-Level Structure on p-Divisible Groups". Thesis, 2019. https://thesis.library.caltech.edu/11575/1/main_final.pdf.

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<p>The main result of the thesis is the introduction of a notion of Γ(<i>p</i>)-level structure for <i>p</i>-divisible groups. This generalizes the Drinfeld-Katz-Mazur notion of full level structure for 1-dimensional <i>p</i>-divisible groups. The associated moduli problem has a natural forgetful map to the Γ<sub>0</sub>(<i>p</i>)-level moduli problem. Exploiting this map and known results about Γ<sub>0</sub>(<i>p</i>)-level, we show that our notion yields a flat moduli problem. We show that in the case of 1-dimensional <i>p</i>-divisible groups, it coincides with the existing Drinfeld-Katz-Ma

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