Let H be a subgroup of a finite group G. We say that His -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 -quasinormality is a transitive relation are described.
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Vladimir O. Lukyanenko, Alexander N. Skiba, Finite Groups in which -Quasinormality is a Transitive Relation. Rend. Sem. Mat. Univ. Padova 124 (2010), pp. 231–246DOI 10.4171/RSMUP/124-16