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

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
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.1998.7431

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@article{236312eb8572405789125c9dbd88b29d,

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\textbackslash{}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.\}",

year = "1998",

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day = "1",

doi = "10.1006/jabr.1998.7431",

language = "English (US)",

volume = "207",

pages = "1--42",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

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T1 - The p-intersection subgroups in quasi-simple and almost simple finite groups

AU - Fleischmann, P.

AU - Lempken, W.

AU - Tiep, P. H.

PY - 1998/9/1

Y1 - 1998/9/1

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.

UR - https://www.scopus.com/pages/publications/0032162240

UR - https://www.scopus.com/pages/publications/0032162240#tab=citedBy

U2 - 10.1006/jabr.1998.7431

DO - 10.1006/jabr.1998.7431

M3 - Article

AN - SCOPUS:0032162240

SN - 0021-8693

VL - 207

SP - 1

EP - 42

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

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

Abstract

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