The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9781139192576
- 1139192574
- 9781461944799
- 1461944791
- 9781107274945
- 110727494X
- 9781107272149
- 1107272149
- 9781107273719
- 1107273714
- 1107271622
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- 1107276977
- 9781107276970
- 1107278201
- 9781107278202
- 1139891952
- 9781139891950
- 512/.23 23
- QA177 .B73 2013
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Online resource; title from digital title page (viewed on July 18, 2013).
Includes bibliographical references (pages 429-434) and index.
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
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.
English.
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