Search results for "dedekind group"

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Algorithms for permutability in finite groups

2013

In 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.

General MathematicsS-permutable subgroupIwasawa groups-permutable subgrouppermutable subgroupiwasawa groupdedekind grouppt-group20-04CombinatoricsMathematics::Group TheoryT-grouppst-groupT-groupQA1-93920d10MathematicsFinite groupDedekind groupMathematics::CombinatoricsalgorithmGroup (mathematics)Sylow theoremsGrups Teoria deDedekind groupAlgorithmt-groupPST-groupIwasawa groupfinite groupPermutable subgroup [Finite group]Classification of finite simple groupsCA-groupPT-groupÀlgebraFinite group: Permutable subgroupMATEMATICA APLICADAAlgorithm20d20MathematicsOpen Mathematics
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