The p-intersection subgroups in quasi-simple and almost simple finite groups

P. Fleischmann, W. Lempken, Pham Huu Tiep

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Let p be a fixed prime and G a finite group. A proper subgroup X < G is called a p-intersection subgroup if X ∩ Xg is a p-group for each g ∈ G\X, but X is not a p-group. In this paper we classify the p-intersection subgroups in the quasi-simple and almost simple finite groups.

Original languageEnglish (US)
Pages (from-to)1-42
Number of pages42
JournalJournal of Algebra
Volume207
Issue number1
StatePublished - Sep 1 1998
Externally publishedYes

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Finite Simple Group
Intersection
Subgroup
P-groups
Finite Group
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ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

The p-intersection subgroups in quasi-simple and almost simple finite groups. / Fleischmann, P.; Lempken, W.; Tiep, Pham Huu.

In: Journal of Algebra, Vol. 207, No. 1, 01.09.1998, p. 1-42.

Research output: Contribution to journalArticle

Fleischmann, P. ; Lempken, W. ; Tiep, Pham Huu. / The p-intersection subgroups in quasi-simple and almost simple finite groups. In: Journal of Algebra. 1998 ; Vol. 207, No. 1. pp. 1-42.
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