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The Subgroup Structure of the Finite Classical Groups : Cambridge Readings in the Literature of Music - Peter B. Kleidman

The Subgroup Structure of the Finite Classical Groups

Cambridge Readings in the Literature of Music

Paperback Published: 25th June 1990
ISBN: 9780521359498
Number Of Pages: 316

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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.

Motivation and setting for the results
Basic properties of the classical groups
The statement of the main theorem
The structure and conjugacy of the members of C
Properties of the finite simple groups
Non-maximal subgroups in C: the examples
Determining the maximality of members of C, Part I
Determining the maximality of members of C, Part II
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521359498
ISBN-10: 052135949X
Series: Cambridge Readings in the Literature of Music
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 316
Published: 25th June 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.94 x 15.19  x 1.88
Weight (kg): 0.45

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