The maximal subgroups of the lowdimensional finite classical groups
 Author/Creator
 Bray, John N. (John Nicholas)
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2013.
 Physical description
 xiv, 438 p. ; 23 cm.
 Series
 London Mathematical Society lecture note series ; 407.
Access
Available online

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QA177 .B73 2013

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QA177 .B73 2013
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Contributors
 Contributor
 Holt, Derek F.
 RoneyDougal, Colva Mary.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 429434) and index.
 Contents

 Preface 1. Introduction 2. The main theorem, and types of geometric subgroups 3. Geometric maximal subgroups 4. Groups in class S: cross characteristic 5. Groups in Class S: defining characteristic 6. Containments involving Ssubgroups 7. Maximal subgroups of exceptional groups 8. Tables.
 (source: Nielsen Book Data)
 Publisher's Summary
 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 by John N. Bray, Derek F. Holt, Colva M. RoneyDougal.
 Series
 London Mathematical Society lecture note series ; 407
 ISBN
 9780521138604
 0521138604