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Maximal subgroups of exceptional algebraic groups

About this Title

Gary M. Seitz

Publication: Memoirs of the American Mathematical Society
Publication Year: 1991; Volume 90, Number 441
ISBNs: 978-0-8218-2504-4 (print); 978-1-4704-0867-1 (online)
DOI: https://doi.org/10.1090/memo/0441
MathSciNet review: 1048074
MSC: Primary 20E28; Secondary 20G15

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Table of Contents

Chapters

  • 0. Introduction
  • 1. Notation and preliminary lemmas
  • 2. Labelled diagrams, restrictions on $L(G)|X$, and root groups
  • 3. Reduction to the case $X$ simple
  • 4. $X = A_1$
  • 5. $X = A_2$
  • 6. $X = B_2$
  • 7. $X = G_2$
  • 8. $X = A_3$
  • 9. $X = B_3$
  • 10. $X = C_3$
  • 11. $X = A_4$
  • 12. $X = B_4$
  • 13. $X = C_4$
  • 14. $X = D_4$
  • 15. $X = F_4$, $E_6$, $E_7$
  • 16. $X$ of classical type and $\operatorname {rank}(X) \geq 5$
  • 17. The main theorems