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On Finite Groups with -Subgroups

Xiuyun Guo

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

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and

Na Wu

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

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https://doi.org/10.1142/S0219498815500632Cited by:8 (Source: Crossref)

Abstract

A subgroup H of a finite group G is called an -subgroup in G if there exists a normal subgroup T of G such that G = HT and H^g ∩ N_T(H) ≤ H for all g ∈ G. In this paper, we continue to investigate the structure of a finite group G with -subgroups. Some new results are given and many known results are generalized.

Keywords:

AMSC: 20D10, 20D20

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