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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

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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