6533b7dbfe1ef96bd126fc2d
RESEARCH PRODUCT
A note on finite PST-groups
Adolfo Ballester BolinchesRamón Esteban RomeroMatthew F. Raglandsubject
Transitive normalityGrups Teoria deÀlgebraFinite groupMATEMATICA APLICADASylow-permutable subgroupdescription
[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.
year | journal | country | edition | language |
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2007-03-01 |