Memoirs of the American Mathematical Society 1996; 111 pp; softcover Volume: 121 ISBN10: 0821804618 ISBN13: 9780821804612 List Price: US$45 Individual Members: US$27 Institutional Members: US$36 Order Code: MEMO/121/580
 The theory of simple algebraic groups is important in many areas of mathematics. The authors of this book investigate the subgroups of certain types of simple algebraic groups and obtain a complete description of all those subgroups which are themselves simple. This description is particularly useful in understanding centralizers of subgroups and restrictions of representations. Readership Graduate students and research mathematicians interested in group theory and generalizations. Table of Contents  Introduction
 Preliminaries
 Some restrictions and tensor products
 Complements in parabolics: proof of Theorem 1
 Centralizers of reductive subgroups: deduction of Theorem 2
 Embedding of reductive subgroups: proofs of Theorems 5 and 7
 Labelled diagrams and conjugacy: deduction of Theorems 4 and 6
 Further results: Theorems 3 and 8
 Tables of simple subgroups of rank at least 2 in exceptional groups
 References
