Frobenius Groups And Classical Maximal Orders

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Frobenius Groups And Classical Maximal Orders
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Author : Ron Brown
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Frobenius Groups And Classical Maximal Orders written by Ron Brown and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Introduction Lemmas on truncated group rings Groups of real quaternions Proof of the classification theorem Frobenius complements with core index 1 Frobenius complements with core index 4 Frobenius complements with core index 12 Frobenius complements with core index 24 Frobenius complements with core index 60 Frobenius complements with core index 120 Counting Frobenius complements Maximal orders Isomorphism classes of Frobenius groups with Abelian Frobenius kernel Concrete constructions of Frobenius groups Counting Frobenius groups with Abelian Frobenius kernel Isomorphism invariants for Frobenius complements Schur indices and finite subgroups of division rings Bibliography
Frobenius Groups And Classical Maximal Orders
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Author : Ron Brown
language : en
Publisher:
Release Date : 2014-09-11
Frobenius Groups And Classical Maximal Orders written by Ron Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Frobenius groups categories.
Introduction Lemmas on truncated group rings Groups of real quaternions Proof of the classification theorem Frobenius complements with core index 1 Frobenius complements with core index 4 Frobenius complements with core index 12 Frobenius complements with core index 24 Frobenius complements with core index 60 Frobenius complements with core index 120 Counting Frobenius complements Maximal orders Isomorphism classes of Frobenius groups with Abelian Frobenius kernel Concrete constructions of Frobenius groups Counting Frobenius groups with Abelian Frobenius kernel Isomorphism invariants for Frobenius complements Schur indices and finite subgroups of division rings Bibliography.
Orders And Generic Constructions Of Units
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Author : Eric Jespers
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-11-13
Orders And Generic Constructions Of Units written by Eric Jespers and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-13 with Mathematics categories.
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.
Structure Theorems Of Unit Groups
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Author : Eric Jespers
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-11-13
Structure Theorems Of Unit Groups written by Eric Jespers and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-13 with Mathematics categories.
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.
From Representation Theory To Homotopy Groups
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Author : Donald M. Davis
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
From Representation Theory To Homotopy Groups written by Donald M. Davis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.
The Submanifold Geometries Associated To Grassmannian Systems
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Author : Martina Brück
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
The Submanifold Geometries Associated To Grassmannian Systems written by Martina Brück and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This work is intended for graduate students and research mathematicians interested in differential geometry and partial differential equations.
Maximum Entropy Of Cycles Of Even Period
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Author : Deborah Martina King
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Maximum Entropy Of Cycles Of Even Period written by Deborah Martina King and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in dynamical systems and ergodic theory.
Tilings Of The Plane Hyperbolic Groups And Small Cancellation Conditions
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Author : Milé Krajčevski
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Tilings Of The Plane Hyperbolic Groups And Small Cancellation Conditions written by Milé Krajčevski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in group theory and generalizations.
Basic Global Relative Invariants For Homogeneous Linear Differential Equations
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Author : Roger Chalkley
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Basic Global Relative Invariants For Homogeneous Linear Differential Equations written by Roger Chalkley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Given any fixed integer $m \ge 3$, the author presents simple formulas for $m - 2$ algebraically independent polynomials over $\mathbb{Q}$ having the remarkable property, with respect to transformations of homogeneous linear differential equations of order $m$, that each polynomial is both a semi-invariant of the first kind (with respect to changes of the dependent variable) and a semi-invariant of the second kind (with respect to changes of the independent variable). These relative invariants are suitable for global studies in several different contexts and do not require Laguerre-Forsyth reductions for their evaluation. In contrast, all of the general formulas for basic relative invariants that have been proposed by other researchers during the last 113 years are merely local ones that are either much too complicated or require a Laguerre-Forsyth reduction for each evaluation.
Limit Theorems For Null Recurrent Markov Processes
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Author : Reinhard Höpfner
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Limit Theorems For Null Recurrent Markov Processes written by Reinhard Höpfner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.