JournalsrsmupVol. 124pp. 231–246

Finite Groups in which τ\tau-Quasinormality is a Transitive Relation

  • Vladimir O. Lukyanenko

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

    Gomel Francisk Skorina State University, Belarus
Finite Groups in which $\tau$-Quasinormality is a Transitive Relation cover
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Abstract

Let H be a subgroup of a finite group G. We say that H is τ\tau-quasinormal in G if HP = PH for all Sylow p-subgroups P of G such that (|H|,p) = 1 and (|H|, |P__G|) ≠ 1. In this article, finite groups in which τ\tau-quasinormality is a transitive relation are described.

Cite this article

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

DOI 10.4171/RSMUP/124-16