Linear algebraic groups and finite groups of lie type / Gunter Malle, Donna Testerman.

Format:

Book

Author/Creator:

Malle, Gunter, author.

Testerman, Donna M., 1960- author.

Series:

Cambridge studies in advanced mathematics ; 133.

Cambridge studies in advanced mathematics ; 133

Language:

English

Subjects (All):

Linear algebraic groups.

Lie algebras.

Physical Description:

1 online resource (xii, 309 pages) : digital, PDF file(s).

Other Title:

Linear Algebraic Groups & Finite Groups of Lie Type

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Summary:

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.

Contents:

pt. 1. Linear algebraic groups

pt. 2. Subgroup structure and representation theory of semisimple algebraic groups

pt. 3. Finite groups of lie type.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-22200-1

1-283-29863-5

9786613298638

1-139-12360-2

0-511-99477-X

1-139-12851-5

1-139-11785-8

1-139-11349-6

1-139-11568-5

OCLC:

769341770