A note on finite PST-groups
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A note on finite PST-groups

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A note on finite PST-groups

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Ballester-Bolinches, Adolfo Perfil; Esteban Romero, Ramón Perfil; Ragland, M.
This document is a artículoDate2007

Este documento está disponible también en : http://hdl.handle.net/10550/47125
Abstract. 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.

    Ballester Bolinches, Adolfo Esteban Romero, Ramón Ragland, M. 2007 A note on finite PST-groups Journal of Group Theory 10 2 205 210
http://dx.doi.org/10.1515/JGT.2007.016

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