On 2-sylow intersections

Marcel Herzog

doi:10.1007/BF02789326

On 2-sylow intersections

Marcel Herzog^*

^*Corresponding author for this work

School of Mathematical Sciences

Aarhus University

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

7 Scopus citations

Abstract

Let z be an involution in the finite group G and suppose that z belongs to the center of a Sylow subgroup of G. If z belongs to a unique Sylow subgroup of G and if G is not a trivial intersection group, then G is not a simple group.

Original language	English
Pages (from-to)	326-327
Number of pages	2
Journal	Israel Journal of Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/BF02789326
State	Published - Sep 1972

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title = "On 2-sylow intersections",

abstract = "Let z be an involution in the finite group G and suppose that z belongs to the center of a Sylow subgroup of G. If z belongs to a unique Sylow subgroup of G and if G is not a trivial intersection group, then G is not a simple group.",

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AB - Let z be an involution in the finite group G and suppose that z belongs to the center of a Sylow subgroup of G. If z belongs to a unique Sylow subgroup of G and if G is not a trivial intersection group, then G is not a simple group.

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On 2-sylow intersections

Abstract

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