On infinite groups generated by two quaternions (original) (raw)

On quaternion-free 2-groups

Bettina Wilkens

Journal of Algebra, 2002

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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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Some Properties of Representation of Quaternion Group

Admi Nazra

KnE Engineering

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Complete decomposition of the generalized quaternion groups

Huey Voon Chen

Open Mathematics

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The structure of infinite 2-groups with a unique 2-element subgroup

Taras Banakh

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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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 GROUPS GENERATED BY ELEMENTS OF PRIME ORDER L. Grunenfelder, T. Košir, M. Omladič, and H. Radjavi

Matjaž Omladič

2003

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Finite groups with Quaternion Sylow subgroup

Hamid Mousavi

Comptes Rendus Mathématique, 2021

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The group of primitive almost pythagorean triples

Nikolai Krylov

Involve, a Journal of Mathematics, 2013

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Construction of a two unique product semigroup defined by permutation relations of quaternion type

Eric Jespers

Journal of Algebra, 2016

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The quaternion-type cyclic-Fibonacci sequences in groups

Ömür Deveci

Notes on Number Theory and Discrete Mathematics, 2023

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On the structure of quaternion rings

Hassan Cheraghpour

Filomat

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Arithmetic 2-generator Kleinian groups with quadratic invariant trace field

John McKenzie

2000

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A Note on Quaternion Rings over Zp

Michael Aristidou

International Journal of Algebra, 2009

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On quaternion algebras over the composite of quadratic number fields

abdelkader zekhnini

Glasnik Matematicki, 2021

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Quaternion orders over quadratic integer rings from arithmetic fuchsian groups

Reginaldo Palazzo

2012

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On a 2-generated infinite 3-group: The presentation problem

Said Sidki

Journal of Algebra, 1987

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On a new construction in group theory

Jan-Christoph Schlage-Puchta

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2009

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Groups in which Squares and Cubes Commute

Geetha Venkataraman

arXiv: Group Theory, 2016

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The HNN and generalized free product structure of certain linear groups

Benjamin Fine

Bulletin of the American Mathematical Society, 1975

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On Groups that Differ in One of Four Squares

Aleš Drápal

European Journal of Combinatorics, 2002

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From the Poincar\'e Theorem to generators of the unit group of integral group rings of finite groups

Eric Jespers

arXiv (Cornell University), 2013

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On quaternion algebras that split over quadratic number fields

abdelkader zekhnini

arXiv (Cornell University), 2019

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Perfect Sequences and Arrays of Unbounded Lengths and Sizes over the Basic Quaternions

Santiago Alpízar Acevedo

2013

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K-loops and quasidirect products in 2-dlmensional Linear Groups over a Pythagorean Field

Bokhee Im

Results in Mathematics, 1995

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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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Reversible maps in the group of quaternionic Möbius transformations

Anthony O'Farrell

Mathematical Proceedings of the Cambridge Philosophical Society, 2007

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

Reginaldo Palazzo

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On finiteness conjectures for modular quaternion algebras

Victor Rotger, Josep Gonz

… Proceedings of the …, 2006

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The Quaternion Group as a Symmetry Group

Khandker Ahmed

The Best Writing on Mathematics 2015, 2016

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