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Publication Date:
March 2010
ISSN:
1435-5337
DOI:
10.1515/forum.2010.045

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Forum Mathematicum

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Some characterizations of finite groups in which semipermutability is a transitive relation

Kahled A. Al-Sharo1 / James C. Beidleman2 / Hermann Heineken3 / Mathew F. Ragland4

1Department of Mathematics, AL al-Bayt University, Jordan. sharo_kh@yahoo.com

2Department of Mathematics, University of Kentucky, Lexington, KY 40605-0027, USA. clark@ms.uky.edu

3Institut für Mathematik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany. heineken@mathematik.uni-wuerzburg.de

4Department of Mathematics, Auburn University Montgomery, P.O. Box 244023, Montgomery, AL 36124-4023 USA. mragland@aum.edu

Citation Information: Forum Mathematicum. Volume 22, Issue 5, Pages 855–862, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/forum.2010.045, March 2010

Publication History:
Received:
2008-09-12
Published Online:
2010-03-10

Abstract

Let G be a finite group and let H be a subgroup of G. H is said to be semipermutable in G if H permutes with every subgroup K of G with (|H|, |K|) = 1. A number of new characterizations of finite solvable BT-groups are given, where a BT-group is one in which semipermutability is a transitive relation.

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