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EBOOK
Author Bray, John N.
Title The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal.
Imprint Cambridge : Cambridge University Press, 2013.

Author Bray, John N.
Series London Mathematical Society lecture note series ; 407
London Mathematical Society lecture note series ; 407.
Subject Finite groups.
Maximal subgroups.
Alt Name Holt, Derek F.
Roney-Dougal, Colva M.
Author Bray, John N.
Series London Mathematical Society lecture note series ; 407
London Mathematical Society lecture note series ; 407.
Subject Finite groups.
Maximal subgroups.
Alt Name Holt, Derek F.
Roney-Dougal, Colva M.
Description 1 online resource
Note Online resource; title from digital title page (viewed on July 18, 2013).
Bibliography Note Includes bibliographical references (pages 429-434) and index.
Summary Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
Contents Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem.
5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions.
Note English.
ISBN 9781139192576 (electronic bk.)
1139192574 (electronic bk.)
9781461944799 (electronic bk.)
1461944791 (electronic bk.)
9781107274945
110727494X
9781107272149
1107272149
9781107273719 (e-book)
1107273714 (e-book)
1107271622
9781107271623
1107276977
9781107276970
1107278201
9781107278202
1139891952
9781139891950
9780521138604
0521138604
OCLC # 856432113
Additional Format Print version: Bray, John N. (John Nicholas). Maximal subgroups of the low-dimensional finite classical groups 9780521138604 (OCoLC)844872000



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