Finite simple unisingular groups of Lie type

Robert M. Guralnick, Pham Huu Tiep

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

Let G be a finite simple group of Lie type in characteristic p. We investigate how large the set of p′-elements acting without fixed points on an irreducible G-module in characteristic p can be. This comes up naturally in studying derangements for finite primitive groups and also in a computational group algorithm proposed by Babai and Shalev. We also consider the same problem for algebraic groups.

Original languageEnglish (US)
Pages (from-to)271-310
Number of pages40
JournalJournal of Group Theory
Volume6
Issue number3
StatePublished - 2003
Externally publishedYes

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Groups of Lie Type
Finite Simple Group
Primitive Group
Algebraic Groups
Rearrangement
Finite Group
Fixed point
Module

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Finite simple unisingular groups of Lie type. / Guralnick, Robert M.; Tiep, Pham Huu.

In: Journal of Group Theory, Vol. 6, No. 3, 2003, p. 271-310.

Research output: Contribution to journalArticle

Guralnick, RM & Tiep, PH 2003, 'Finite simple unisingular groups of Lie type', Journal of Group Theory, vol. 6, no. 3, pp. 271-310.
Guralnick, Robert M. ; Tiep, Pham Huu. / Finite simple unisingular groups of Lie type. In: Journal of Group Theory. 2003 ; Vol. 6, No. 3. pp. 271-310.
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