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

P. Fleischmann; W. Lempken; P. H. Tiep

doi:10.1006/jabr.1998.7431

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 ∩ X^g 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 language	English (US)
Pages (from-to)	1-42
Number of pages	42
Journal	Journal of Algebra
Volume	207
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1998.7431
State	Published - Sep 1 1998

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.1998.7431

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title = "The p-intersection subgroups in quasi-simple and almost simple finite groups",

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.",

author = "P. Fleischmann and W. Lempken and Tiep, {P. H.}",

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AU - Lempken, W.

AU - Tiep, P. H.

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N2 - 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.

AB - 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.

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DO - 10.1006/jabr.1998.7431

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JF - Journal of Algebra

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

Abstract

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