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

P. Fleischmann, W. Lempken, P. H. Tiep

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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
DOIs
StatePublished - Sep 1 1998

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ASJC Scopus subject areas

  • Algebra and Number Theory

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