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Finite groups with cyclic S-cofactors of subgroups

Xiaolan Yi

Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China

https://doi.org/10.1142/S0219498815500541Cited by:0 (Source: Crossref)

Abstract

Let H be a subgroup of a finite group G. We use H_sG to denote the S-core of H, that is, the subgroup of G generated by all those subgroups of H which are S-permutable in G. We say that H/H_sG is the S-cofactor of H. In this paper we study G under restrictions on the S-cofactors of some subgroups of G.

Keywords:

AMSC: 20D10, 20D15, 20D20

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