Linear Algebraic Groups and Finite Groups of Lie Type

Gunter Malle, Donna Testerman

ISBN 10: 1107008549 / ISBN 13: 9781107008540

Published by Cambridge University Press, GB, 2011

About this Item

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

Seller Inventory # LU-9781107008540

Bibliographic Details

• Title: Linear Algebraic Groups and Finite Groups of Lie Type
• Publisher: Cambridge University Press, GB
• Publication Date: 2011
• Language: English
• ISBN 10: 1107008549
• ISBN 13: 9781107008540
• Binding: Hardback
• Condition: New
• Weight: 590 grams

About this title

Synopsis

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups, and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

About the Authors

Gunter Malle is a Professor in the Department of Mathematics at the University of Kaiserslautern, Germany.

Donna Testerman is a Lecturer in the Basic Sciences Faculty at the École Polytechnique Fédérale de Lausanne, Switzerland.