Hall-Higman-type theorems for semisimple elements of finite classical groups

Pham Huu Tiep, A. E. Zalesskiǐ

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Minimum polynomials of semisimple elements of prime power order p a of finite classical groups in (nontrivial) irreducible cross-characteristic representations are studied. In particular, an analogue of the Hall-Higman theorem is established, which shows that the degree of such a polynomial is at least pa-1(p-1), with a few explicit exceptions.

Original languageEnglish (US)
Pages (from-to)623-668
Number of pages46
JournalProceedings of the London Mathematical Society
Volume97
Issue number3
DOIs
StatePublished - Nov 2008
Externally publishedYes

Fingerprint

Order of a polynomial
Classical Groups
Semisimple
Exception
Finite Group
Analogue
Polynomial
Theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Hall-Higman-type theorems for semisimple elements of finite classical groups. / Tiep, Pham Huu; Zalesskiǐ, A. E.

In: Proceedings of the London Mathematical Society, Vol. 97, No. 3, 11.2008, p. 623-668.

Research output: Contribution to journalArticle

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