Finite Groups in which -Quasinormality is a Transitive Relation

  • Vladimir O. Lukyanenko

    Gomel Francisk Skorina State University, Belarus
  • Alexander N. Skiba

    Gomel Francisk Skorina State University, Belarus

Abstract

Let be a subgroup of a finite group . We say that is -quasinormal in if for all Sylow -subgroups of such that and . In this article, finite groups in which -quasinormality is a transitive relation are described.

Cite this article

Vladimir O. Lukyanenko, Alexander N. Skiba, Finite Groups in which -Quasinormality is a Transitive Relation. Rend. Sem. Mat. Univ. Padova 124 (2010), pp. 231–246

DOI 10.4171/RSMUP/124-16