On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type / David A. Craven.

Format:

Book

Author/Creator:

Craven, David A., author.

Series:

Memoirs of the American Mathematical Society ; Volume 288.

Memoirs of the American Mathematical Society Series ; Volume 288

Language:

English

Subjects (All):

Lie groups.

Physical Description:

1 online resource (226 pages)

Edition:

First edition.

Place of Publication:

Providence, RI : American Mathematical Society, [2023]

Summary:

View the abstract.

Contents:

Cover

Title page

Chapter 1. Introduction

Chapter 2. Notation and preliminaries

Chapter 3. Subgroup structure of exceptional algebraic groups

Chapter 4. Techniques for proving the results

4.1. The strategy

4.2. An example

Chapter 5. Modules for groups of Lie type

Chapter 6. Rank 4 groups for ₈

6.1. \PSL₅

6.2. \PSU₅

6.3. Ω₉

6.4. \PSp₈

6.5. Ω₈⁺

6.6. Ω₈⁻

6.7. ³ ₄

6.8. ₄ and ² ₄

Chapter 7. Rank 3 groups for ₈

7.1. \PSL₄

7.2. \PSU₄

7.3. Ω₇

7.4. \PSp₆

Chapter 8. Rank 2 groups for ₈

8.1. \PSL₃

8.2. \PSU₃

8.3. \PSp₄

8.4. ² ₂

8.5. ² ₂

8.6. ₂

Chapter 9. Subgroups of ₇

Chapter 10. Subgroups of ₆

Chapter 11. Subgroups of ₄

Chapter 12. Difficult cases

12.1. \PSL₅(2)≤ ₈

12.2. \PSL₃(5)≤ ₈

12.3. \PSU₃(4)≤ ₈

Chapter 13. The trilinear form for ₆

13.1. Using the symmetric form

13.2. The case \PSU₃(3)

13.3. The case ² ₂(3)'

13.4. The case \PSL₃(3)

Bibliography

Back Cover.

Notes:

Includes bibliographical references.

Description based on print version record.

Other Format:

Print version: Craven, David A. On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type

ISBN:

1-4704-7576-6