TY  - BOOK
AU  - Bray,John N.
AU  - Holt,Derek F.
AU  - Roney-Dougal,Colva M.
TI  - The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
T2  - London Mathematical Society Lecture Note Series
SN  - 9781139192576 (ebook)
AV  - QA177 .B73 2013
U1  - 512.23 23
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Finite groups
KW  - Maximal subgroups
N1  - Title from publisher's bibliographic system (viewed on 04 Apr 2016)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9781139192576
ER  -