The embedding of a cyclic permutable subgroup in a finite group. II

J. Cossey; S. E. Stonehewer

doi:10.1017/S0013091502001062

The embedding of a cyclic permutable subgroup in a finite group. II

J. Cossey^*, S. E. Stonehewer

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

In two previous papers we established the structure of the normal closure of a cyclic permutable subgroup A of a finite group, first when A has odd order and second when A has even order, but with an extra hypothesis that was unnecessary in the odd case. Here we describe the most general situation without any restrictions on A.

Original language	English
Pages (from-to)	101-109
Number of pages	9
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	47
Issue number	1
DOIs	https://doi.org/10.1017/S0013091502001062
Publication status	Published - Feb 2004

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title = "The embedding of a cyclic permutable subgroup in a finite group. II",

abstract = "In two previous papers we established the structure of the normal closure of a cyclic permutable subgroup A of a finite group, first when A has odd order and second when A has even order, but with an extra hypothesis that was unnecessary in the odd case. Here we describe the most general situation without any restrictions on A.",

keywords = "Cyclic subgroup, Permutable subgroup, Power automorphism",

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AB - In two previous papers we established the structure of the normal closure of a cyclic permutable subgroup A of a finite group, first when A has odd order and second when A has even order, but with an extra hypothesis that was unnecessary in the odd case. Here we describe the most general situation without any restrictions on A.

KW - Cyclic subgroup

KW - Permutable subgroup

KW - Power automorphism

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The embedding of a cyclic permutable subgroup in a finite group. II

Abstract

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