Algorithms for permutability in finite groups
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AbstractIn this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.
2014 ◽
Vol 56
(3)
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pp. 691-703
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1998 ◽
Vol 37
(03)
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pp. 235-238
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2000 ◽
Vol 29
(1)
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pp. 83-94
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1995 ◽
Vol 10
(3)
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pp. 329-337
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