Bray, John N.,
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. - Cambridge : Cambridge University Press, 2013. - 1 online resource (452 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 407 . - London Mathematical Society Lecture Note Series ; no. 407. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
9781139192576 (ebook)
Finite groups
Maximal subgroups
QA177 / .B73 2013
512.23
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. - Cambridge : Cambridge University Press, 2013. - 1 online resource (452 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 407 . - London Mathematical Society Lecture Note Series ; no. 407. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
9781139192576 (ebook)
Finite groups
Maximal subgroups
QA177 / .B73 2013
512.23