From the Poincar'e Theorem to generators of the unit group of integral group rings of finite groups (original) (raw)

Generators of large subgroups of the unit group of integral group rings

Guilherme Leal

Manuscripta Mathematica, 1993

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Presentations of the unit group of an order in a non-split quaternion algebra

Guilherme Leal

Advances in Mathematics, 2004

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On infinite groups generated by two quaternions

Diego Rattaggi

Eprint Arxiv Math 0502512, 2005

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Structure of group rings and the group of units of integral group rings: an invitation

Eric Jespers

Indian Journal of Pure and Applied Mathematics, 2021

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On the structure of quaternion rings

Hassan Cheraghpour

Filomat

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Abelian subgroup structure of square complex groups and arithmetic of quaternions

Diego Rattaggi

Journal of Algebra, 2005

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A characterization of the quaternion group

Marius Tarnauceanu

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2013

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Quaternion orders over quadratic integer rings from arithmetic fuchsian groups

Reginaldo Palazzo

2012

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Rational Group Algebras of Finite Groups: From Idempotents to Units of Integral Group Rings

Gabriela Olteanu

Algebras and Representation Theory, 2010

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The Exhaustion Numbers of the Generalized Quaternion Groups

Huey Voon Chen

Malaysian Journal of Mathematical Sciences, 2023

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Arithmetic of Quaternion Algebras: Orders and Ideals

Marios Magioladitis

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On Duo Group Rings

Yuanlin Li

Algebra Colloquium, 2011

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Complete decomposition of the generalized quaternion groups

Huey Voon Chen

Open Mathematics

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Degree 1 and 2 representations of nilpotent groups and applications to units of group rings

Guilherme Leal

Manuscripta Mathematica, 1995

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Finding generators and relations for groups acting on the hyperbolic ball

Donald Cartwright

arXiv (Cornell University), 2017

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A refinement of B\'ezout's Lemma, and order 3 elements in some quaternion algebras over mathbbQ\mathbb{Q}mathbbQ

Donald Cartwright

arXiv: Number Theory, 2021

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On surfaces obtained from quaternion algebras over real quadratic fields

Ira Shavel

Bulletin of the American Mathematical Society, 1976

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On cubic rings and quaternion rings

Benedict Gross

Journal of Number Theory, 2009

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Geometric analysis on H -type groups related to division algebras

Der-chen Chang

Mathematische Nachrichten, 2008

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The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions

Aloys Krieg

1987

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Arithmetic Fuchsian Groups Derived from Tesselations {4g, 4g} and Identified in Quaternion Orders

Reginaldo Palazzo

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Groups of units of integral group rings of Kleinian type

Antonio Pita, A. del Rio

Transactions of the American Mathematical Society, 2005

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Central units of integral group rings

Eric Jespers

arXiv (Cornell University), 2012

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Geometric analysis on H -type groups related to division algebras

Ovidiu Calin, Der-chen Chang

Mathematische Nachrichten, 2009

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Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions

Fabio Vlacci

Geometriae Dedicata, 2017

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Some Properties of Representation of Quaternion Group

Admi Nazra

KnE Engineering

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An algorithm to compute the primitive central idempotents and the Wedderburn decomposition of a rational group algebra

Aurora Olivieri, A. del Rio

Journal of Symbolic Computation, 2003

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Construction of Signal Sets From Quotient Rings of the Quaternion Orders Associated With Arithmetic Fuchsian Groups

Reginaldo Palazzo

IEEE Access, 2020

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Subgroups of division rings

Mark Lewis

Rocky Mountain Journal of Mathematics, 2019

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