The Maximal Subgroups Of The Low Dimensional Finite Classical Groups

Author: John N. Bray
Publisher: Cambridge University Press
ISBN: 1107276225
Size: 25.93 MB
Format: PDF
Category : Mathematics
Languages : en
Pages :
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The Maximal Subgroups Of The Low Dimensional Finite Classical Groups

by John N. Bray, The Maximal Subgroups Of The Low Dimensional Finite Classical Groups Books available in PDF, EPUB, Mobi Format. Download The Maximal Subgroups Of The Low Dimensional Finite Classical Groups books, This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.

The Subgroup Structure Of The Finite Classical Groups

Author: Peter B. Kleidman
Publisher: Cambridge University Press
ISBN: 052135949X
Size: 63.38 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 303
View: 2726

The Subgroup Structure Of The Finite Classical Groups

by Peter B. Kleidman, The Subgroup Structure Of The Finite Classical Groups Books available in PDF, EPUB, Mobi Format. Download The Subgroup Structure Of The Finite Classical Groups books, With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.

Surveys In Combinatorics 2005

Author: Bridget S. Webb
Publisher: Cambridge University Press
ISBN: 9780521615235
Size: 69.59 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 258
View: 2751

Surveys In Combinatorics 2005

by Bridget S. Webb, Surveys In Combinatorics 2005 Books available in PDF, EPUB, Mobi Format. Download Surveys In Combinatorics 2005 books, This volume provides an up-to-date overview of current research across combinatorics,.

Finite Simple Groups Thirty Years Of The Atlas And Beyond

Author: Manjul Bhargava
Publisher: American Mathematical Soc.
ISBN: 1470436787
Size: 52.89 MB
Format: PDF, Docs
Category : Atlas of finite groups
Languages : en
Pages : 229
View: 2017

Finite Simple Groups Thirty Years Of The Atlas And Beyond

by Manjul Bhargava, Finite Simple Groups Thirty Years Of The Atlas And Beyond Books available in PDF, EPUB, Mobi Format. Download Finite Simple Groups Thirty Years Of The Atlas And Beyond books, Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics. The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.

The Atlas Of Finite Groups Ten Years On

Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 9780521575874
Size: 66.35 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 293
View: 4357

The Atlas Of Finite Groups Ten Years On

by Robert Curtis, The Atlas Of Finite Groups Ten Years On Books available in PDF, EPUB, Mobi Format. Download The Atlas Of Finite Groups Ten Years On books, Proceedings containing twenty articles by leading experts in group theory and its applications.

Surveys In Combinatorics

Author:
Publisher:
ISBN:
Size: 33.54 MB
Format: PDF, ePub
Category : Combinatorial analysis
Languages : en
Pages :
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Surveys In Combinatorics

by , Surveys In Combinatorics Books available in PDF, EPUB, Mobi Format. Download Surveys In Combinatorics books,

Mathematical Reviews

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Publisher:
ISBN:
Size: 19.75 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages :
View: 7437

Mathematical Reviews

by , Mathematical Reviews Books available in PDF, EPUB, Mobi Format. Download Mathematical Reviews books,

Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards

Author:
Publisher:
ISBN:
Size: 19.88 MB
Format: PDF, Docs
Languages : en
Pages :
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Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards

by , Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards Books available in PDF, EPUB, Mobi Format. Download Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards books,

Archiv Der Mathematik

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Publisher:
ISBN:
Size: 10.83 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages :
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Archiv Der Mathematik

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Discrete Groups And Geometric Structures

Author: Karel Dekimpe
Publisher: American Mathematical Soc.
ISBN: 0821846477
Size: 65.98 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 146
View: 2977

Discrete Groups And Geometric Structures

by Karel Dekimpe, Discrete Groups And Geometric Structures Books available in PDF, EPUB, Mobi Format. Download Discrete Groups And Geometric Structures books, This volume reports on research related to Discrete Groups and Geometric Structures, as presented during the International Workshop held May 26-30, 2008, in Kortrijk, Belgium. Readers will benefit from impressive survey papers by John R. Parker on methods to construct and study lattices in complex hyperbolic space and by Ursula Hamenstadt on properties of group actions with a rank-one element on proper $\mathrm{CAT}(0)$-spaces. This volume also contains research papers in the area of group actions and geometric structures, including work on loops on a twice punctured torus, the simplicial volume of products and fiber bundles, the homology of Hantzsche-Wendt groups, rigidity of real Bott towers, circles in groups of smooth circle homeomorphisms, and groups generated by spine reflections admitting crooked fundamental domains.

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