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THE EMBEDDING OF A CYCLIC PERMUTABLE SUBGROUP IN A FINITE GROUP. II
Published online by Cambridge University Press: 27 May 2004
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 $A$.
AMS 2000 Mathematics subject classification: Primary 20D35; 20D40
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 1 , February 2004 , pp. 101 - 109
- Copyright
- Copyright © Edinburgh Mathematical Society 2004
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