Search results for "Transitive normality"

showing 2 items of 2 documents

On finite T-groups

2003

[EN] Characterisations of finite groups in which normality is a transitive relation are presented in the paper. We also characterise the finite groups in which every subgroup is either permutable or coincides with its permutiser as the groups in which every subgroup is permutable.

Mathematics::Group TheoryMathematics::CombinatoricsFinite soluble groupTransitive normalityMATEMATICA APLICADAMatemàtica
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A note on finite PST-groups

2007

[EN] A finite group G is said to be a PST-group if, for subgroups H and K of G with H Sylow-permutable in K and K Sylow-permutable in G, it is always the case that H is Sylow-permutable in G. A group G is a T*-group if, for subgroups H and K of G with H normal in K and K normal in G, it is always the case that H is Sylow-permutable in G. In this paper, we show that finite PST-groups and finite T*-groups are one and the same. A new characterisation of soluble PST-groups is also presented.

Transitive normalityGrups Teoria deÀlgebraFinite groupMATEMATICA APLICADASylow-permutable subgroup
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