Linear Algebraic Groups and Finite Groups of Lie Type
Sep 2011 · Cambridge Studies in Advanced Mathematics Book 133 · Cambridge University Press
Ebook
324
Pages
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About this ebook
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 author
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.
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