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

Some characterizations of finite groups in which semipermutability is a transitive relation
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DOI:
10.1515/forum.2010.045
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发表时间:
2010
期刊:
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通讯作者:
Kahled A. Al-Sharo;J. Beidleman;H. Heineken;M. Ragland
Kahled A. Al-Sharo;J. Beidleman;H. Heineken;M. Ragland
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其他
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作者:
Kahled A. Al-Sharo;J. Beidleman;H. Heineken;M. Ragland

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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.