The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal.

Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.

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Bibliographic Details
Main Author: Bray, John N.
Other Authors: Holt, Derek F., Roney-Dougal, Colva M.
Format: eBook
Language:English
Published: Cambridge : Cambridge University Press, 2013.
Series:London Mathematical Society lecture note series ; 407.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Bray, John N. 
245 1 4 |a The maximal subgroups of the low-dimensional finite classical groups /  |c John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2013. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a London Mathematical Society lecture note series ;  |v 407 
588 0 |a Online resource; title from digital title page (viewed on July 18, 2013). 
504 |a Includes bibliographical references (pages 429-434) and index. 
520 |a Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods. 
505 0 |a 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. 
505 8 |a 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. 
546 |a English. 
650 0 |a Finite groups. 
650 0 |a Maximal subgroups. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Grupos finitos  |2 embne 
650 7 |a Finite groups  |2 fast 
650 7 |a Maximal subgroups  |2 fast 
700 1 |a Holt, Derek F. 
700 1 |a Roney-Dougal, Colva M. 
758 |i has work:  |a The maximal subgroups of the low-dimensional finite classical groups (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGfHDpMgcjPqk7Gqhtt8BX  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Bray, John N. (John Nicholas).  |t Maximal subgroups of the low-dimensional finite classical groups  |z 9780521138604  |w (OCoLC)844872000 
830 0 |a London Mathematical Society lecture note series ;  |v 407. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1303557  |y Click for online access 
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