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

Access to Document

10.1017/S0013091502001062

Cite this

@article{9b1cff91871043139a9888723fb83f14,

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",

author = "J. Cossey and Stonehewer, \{S. E.\}",

year = "2004",

month = feb,

doi = "10.1017/S0013091502001062",

language = "English",

volume = "47",

pages = "101--109",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "0013-0915",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - The embedding of a cyclic permutable subgroup in a finite group. II

AU - Cossey, J.

AU - Stonehewer, S. E.

PY - 2004/2

Y1 - 2004/2

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/2442605415

U2 - 10.1017/S0013091502001062

DO - 10.1017/S0013091502001062

M3 - Article

SN - 0013-0915

VL - 47

SP - 101

EP - 109

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this