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The maximal subgroups of positive dimension in exceptional algebraic groups
About this Title
Martin W. Liebeck and Gary M. Seitz
Publication: Memoirs of the American Mathematical Society
Publication Year:
2004; Volume 169, Number 802
ISBNs: 978-0-8218-3482-4 (print); 978-1-4704-0400-0 (online)
DOI: https://doi.org/10.1090/memo/0802
MathSciNet review: 2044850
MSC: Primary 20G05; Secondary 14L40, 17B25
Table of Contents
Chapters
- 1. Introduction
- 2. Preliminaries
- 3. Maximal subgroups of type $A_1$
- 4. Maximal subgroups of type $A_2$
- 5. Maximal subgroups of type $B_2$
- 6. Maximal subgroups of type $G_2$
- 7. Maximal subgroups $X$ with $\operatorname {rank}(X) \geq 3$
- 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: $E_8$ structure constants