The Library
The embedding of a cyclic permutable subgroup in a finite group. II
Tools
Cossey, John and Stonehewer, Stewart E. (2004) The embedding of a cyclic permutable subgroup in a finite group. II. Proceedings of the Edinburgh Mathematical Society (Series 2) , Vol.47 (No.1). pp. 101-109. doi:10.1017/S0013091502001062 ISSN 0013-0915 .
|
PDF
WRAP_Cossey_embedding_cyclic.pdf - Requires a PDF viewer. Download (166Kb) |
Official URL: http://dx.doi.org/10.1017/S0013091502001062
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 $A$.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Group theory, Products of subgroups, Finite groups, Sylow subgroups, Automorphisms | ||||
Journal or Publication Title: | Proceedings of the Edinburgh Mathematical Society (Series 2) | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0013-0915 | ||||
Official Date: | February 2004 | ||||
Dates: |
|
||||
Volume: | Vol.47 | ||||
Number: | No.1 | ||||
Page Range: | pp. 101-109 | ||||
DOI: | 10.1017/S0013091502001062 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |