Finite solvable groups in which semi-normality is a transitive relation
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A subgroup H of a finite group G is said to be seminormal in G if every Sylow p-subgroup of G, p a prime, with (|H|, p) = 1 normalizes H. A group G is called an SNT-group if seminormality is a transitive relation in G. Properties of solvable SNT-groups are studied. For example, subgroups of solvable SNT-groups are SNT-groups.
KeywordsFinite groups S-permutability S-semipermutability Seminormal
Mathematics Subject Classification20D05 20D10 20F16
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- Asaad, M., Ballester-Bolinches, A., Esteban-Romero, R.: Products of finite groups. de Gruyter Expositions in Mathematics, vol. 53. Walter de Gruyter GmbH & Co. KG, Berlin (2010)Google Scholar