The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

Language: English

Published by Cambridge University Press, GB, 2013

0521138604 / 9780521138604

Series: Book 338 of 387 - London Mathematical Society Lecture Notes

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This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.

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Title
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
Author
John N. Bray, Derek F. Holt, Colva M. Roney-Dougal
Publisher
Cambridge University Press, GB
Publication year
2013
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521138604
ISBN 13
9780521138604
Item weight
640 grams
Series
Book 338 of 387: London Mathematical Society Lecture Notes

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