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设G是一个有限群,α是G的一个自同构,如果对于G的任意子群H,都有α(H)=H,那么称α是G的幂自同构.群G的所有幂自同构构成的群,称为G的幂自同构群,记为P(G).本研究确定了非阿贝尔的p阶循环群被初等阿贝尔p-群的中心扩张的幂自同构群P(G)的结构.
Abstract：Let G be a group.An automorphism α of G is called a power automorphism if α(H)=H for every subgroup H of G.All power automorphisms of G form a group, which is denoted by P(G).In this paper, we determine the structure of P(G) when G is a non-abelian p-group given by a central extension of a cyclic group of order p by an elementary abelian p-group.
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基本信息:
中图分类号:O152.1
引用信息:
[1]徐涛,董晓敏,李昊状,等.p阶循环群被初等阿贝尔p-群的中心扩张的幂自同构[J].青海师范大学学报(自然科学版)().
基金信息:
国家自然科学基金项目(12561002); 海南省自然科学基金项目(126MS0135)
2026-09-20
2026-09-20
2026-09-20