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BestsellerE-book
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.

Publication Info. Cambridge : Cambridge University Press, 2013.
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Online eBook via EBSCO. Access restricted to current Rider University students, faculty, and staff.
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Description 1 online resource.
text file
Series London Mathematical Society lecture note series ; 407
London Mathematical Society lecture note series ; 407.
Bibliography 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Finite groups.
Finite groups.
Maximal subgroups.
Maximal subgroups.
Genre/Form Electronic books.
Electronic books.
Added Author Holt, Derek F.
Roney-Dougal, Colva Mary.
Other Form: Print version: Bray, John N. (John Nicholas). Maximal subgroups of the low-dimensional finite classical groups 9780521138604 (OCoLC)844872000
ISBN 9781139192576 (electronic book)
1139192574 (electronic book)
9781461944799 (electronic book)
1461944791 (electronic book)
9781107274945
110727494X
9781107272149
1107272149
9781107273719 (e-book)
1107273714 (e-book)
9780521138604
0521138604

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