Finite groups in which normality, permutability or Sylow permutability is transitive

Malinowska, Izabela Agata

doi:10.2478/auom-2014-0055

Abstract

Y. Li gave a characterization of the class of finite soluble groups in which every subnormal subgroup is normal by means of NE-subgroups: a subgroup H of a group G is called an NE-subgroup of G if N_G(H) ∩ H^G = H. We obtain a new characterization of these groups related to the local Wielandt subgroup. We also give characterizations of the classes of finite soluble groups in which every subnormal subgroup is permutable or Sylow permutable in terms of NE-subgroups.

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Finite groups in which normality, permutability or Sylow permutability is transitive

Abstract

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