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On ζ_s -Quasinormality of 2-Maximal Subgroups

Yufeng LIU  Xiaolong YU  Lijun HUO  
【摘要】:Let ζ be a class of finite groups. A subgroup H of a finite group G is said to be ζs-quasinormal in G if there exists a normal subgroup T of G such that HT is s-permutable in G and (H ∩T )HG /HG is contained in the ζ-hypercenter ZF∞ (G/H G ) of G/H G . In this paper, we use ζs-quasinormal subgroups to study the structure of finite groups. Some new results are obtained.

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