JournalsrsmupVol. 124pp. 231–246

Finite Groups in which $\tau$ -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$

Abstract

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

Cite this article

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

DOI 10.4171/RSMUP/124-16