The maximal subgroups of the lowdimensional finite classical groups [EBook] / John N. Bray, Derek F. Holt, Colva M. RoneyDougal.
The maximal subgroups of the lowdimensional finite classical groups [EBook] / John N. Bray, Derek F. Holt, Colva M. RoneyDougal.
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 through...
Personal Name(s):  Bray, John N., (author) 

Holt, Derek F., (author) / RoneyDougal, Colva Mary, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
2013

Physical Description: 
1 online resource (xiv, 438 pages) 
Note: 
englisch 
ISBN: 
9780521138604 9781139192576 
Series Title: 
London Mathematical Society lecture note series ;
407 
Subject (LOC):  
Full Text 
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 graduatelevel textbook on finite simple groups, computational group theory and representation theory. 