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Finite groups some of whose \(n\)-maximal subgroups are conjugate-permutable. (Chinese. English summary) Zbl 1122.20301

Summary: A subgroup \(H\) of a group \(G\) is called conjugate-permutable in \(G\) if it is permutable with all conjugated subgroups of \(H\). The influence of \(n\)-maximal subgroups being conjugate-permutable on the structure of finite groups is investigated.

MSC:

20D40 Products of subgroups of abstract finite groups