The maximal subgroups of the low-dimensional finite classical groups /John N. Bray, Derek F. Holt, Colva M. Roney-Dougal.
Material type: TextSeries: Publication details: Cambridge : Cambridge University Press, (c)2013.Description: 1 online resourceContent type:- text
- computer
- online resource
- 9781139192576
- 9781461944799
- 9781107274945
- 9781107272149
- QA177 .M395 2013
- COPYRIGHT NOT covered - Click this link to request copyright permission: https://lib.ciu.edu/copyright-request-form
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Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) | G. Allen Fleece Library ONLINE | Non-fiction | QA177 (Browse shelf(Opens below)) | Link to resource | Available | ocn856432113 |
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Includes bibliographies 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.
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