Rendiconti del Seminario Matematico della Università di Padova
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Published online: 2010-12-31
Finite Groups in which $\tau$-Quasinormality is a Transitive RelationVladimir O. Lukyanenko and Alexander N. Skiba (1) Gomel Francisk Skorina State University, Belarus
(2) Gomel Francisk Skorina State University, Belarus
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|, |PG|) ≠ 1.In this article, finite groups in which $\tau$-quasinormality is a transitive relation are described.
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Lukyanenko Vladimir, Skiba Alexander: Finite Groups in which $\tau$-Quasinormality is a Transitive Relation. Rend. Sem. Mat. Univ. Padova 124 (2010), 231-246. doi: 10.4171/RSMUP/124-16