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A generalization to Sylow permutability of pronormal subgroups of finite groups

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A generalization to Sylow permutability of pronormal subgroups of finite groups

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Esteban Romero, Ramón; Longobardi, P; Maj, M.

Aquest document és un/a article, creat/da en: 2019

In this note, we present a new subgroup embedding property that can be considered as an analogue of pronormality in the scope of permutability and Sylow permutability in finite groups. We prove that finite PST-groups, or groups in which Sylow permutability is a transitive relation, can be characterized in terms of this property, in a similar way as T-groups, or groups in which normality is transitive, can be characterized in terms of pronormality.

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