Search results for "Pt-group"

showing 2 items of 2 documents

On self-normalising subgroups of finite groups

2010

[EN] The aim of this paper is to characterise the classes of groups in which every subnormal subgroup is normal, permutable, or S-permutable by the embedding of the subgroups (respectively, subgroups of prime power order) in their normal, permutable, or S-permutable closure, respectively.

Discrete mathematicsFinite groupPst-groupAlgebra and Number TheoryMathematics::CombinatoricsGrups Teoria deAlgebraMathematics::Group TheoryT-groupPt-groupT-groupPermutabilitySylow permutabilityÀlgebraAlgebra over a fieldFinite groupPermutable closureSubnormal closureMATEMATICA APLICADAGroup theoryMathematics
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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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