广义正规性对有限群p－幂零性的影响

Influence of the generalized normality on p－nilpotent of the finite group

摘要

分析 Sylow 子群的极大子群在群G中的n-σ－嵌入性质，结合正规化子与导子群的理论，得到有限群是p－幂零群的几个充分条件。

Abstract

The n－σ－embedded properties of the maximal subgroups of the Sylow subgroups are investigated，and some sufficient conditions for finite groups to be p－nilpotent are obtained．

关键词

n－σ－嵌入子群 / p－幂零群 / p－可解群 / σ－置换子群

Key words

n－σ－embedded subgroup / p－nilpotent group / p－solvable group / σ－permutable subgroup

参考文献

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基金资助

山西省教育厅科技创新项目(2020L0518)