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The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic

About this Title

I. D. Suprunenko

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 200, Number 939
ISBNs: 978-0-8218-4369-7 (print); 978-1-4704-0553-3 (online)
MathSciNet review: 2526956
MSC: Primary 20G05; Secondary 20G15

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Table of Contents


  • 1. Introduction
  • 2. Notation and preliminary facts
  • 3. The general scheme of the proof of the main results
  • 4. $p$-large representations
  • 5. Regular unipotent elements for $n = p^s + b$, $0 < b < p$
  • 6. A special case for $G = B_r(K)$
  • 7. The exceptional cases in Theorem 1.7
  • 8. Theorem 1.9 for regular unipotent elements and groups of types $A$, $B$, and $C$
  • 9. The general case for regular elements
  • 10. Theorem 1.3 for groups of types $A_r$ and $B_r$ and regular elements
  • 11. Proofs of the main theorems
  • 12. Some examples
  • Appendix. Tables