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Linear Algebraic Groups and Finite Groups of Lie Type: 133 (Cambridge Studies in Advanced Mathematics, Series Number 133) - Hardcover

 
9781107008540: Linear Algebraic Groups and Finite Groups of Lie Type: 133 (Cambridge Studies in Advanced Mathematics, Series Number 133)

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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.

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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.

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  • PublisherCambridge University Press
  • Publication date2011
  • ISBN 10 1107008549
  • ISBN 13 9781107008540
  • BindingHardcover
  • LanguageEnglish
  • Number of pages324

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Hardcover. Condition: new. Hardcover. 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. This concise treatment covers many topics that are central to the subject, but missing from existing textbooks. It contains 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107008540

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Hardcover. Condition: new. Hardcover. 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. This concise treatment covers many topics that are central to the subject, but missing from existing textbooks. It contains 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781107008540

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