A note on finite PST-groups
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Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Ragland, M.
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Aquest document és un/a article, creat/da en: 2007
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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. |
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