The maximal subgroups of positive dimension in exceptional algebraic groups / Martin W. Liebeck, Gary M. Seitz.

Format:

Book

Author/Creator:

Liebeck, M. W. (Martin W.), author.

Seitz, Gary M., 1943- author.

Series:

Memoirs of the American Mathematical Society ; Number 802.

Memoirs of the American Mathematical Society, 0065-9266 ; Number 802

Language:

English

Subjects (All):

Maximal subgroups.

Linear algebraic groups.

Physical Description:

1 online resource (242 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2004.

Language Note:

English

Summary:

Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.

Contents:

Intro

Contents

Abstract

1. Introduction

2. Preliminaries

3. Maximal subgroups of type A[sub(1)]

4. Maximal subgroups of type A[sub(2)]

5. Maximal subgroups of type B[sub(2)]

6. Maximal subgroups of type G[sub(2)]

7. Maximal subgroups X with rank(X) ≥ 3

8. Proofs of Corollaries 2 and 3

9. Restrictions of small G-modules to maximal subgroups

10. The tables for Theorem 1 and Corollary 2

11. Appendix: E[sub(8)] structure constants

References.

Notes:

"Volume 169, number 802 (third of 4 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0400-1