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On Commuting Automorphisms of Some Finite p -Groups
Mathematical Notes ( IF 0.6 ) Pub Date : 2020-04-24 , DOI: 10.1134/s0001434620030177 R. Garg , D. Gumber
中文翻译:
关于一些有限p群的通态自同构
更新日期:2020-04-24
Mathematical Notes ( IF 0.6 ) Pub Date : 2020-04-24 , DOI: 10.1134/s0001434620030177 R. Garg , D. Gumber
Let G be a group and Aut(G) be its automorphism group. An automorphism α of G is called a commuting automorphism if α(x)x = xα(x) for all x ∈ G. The set of all commuting automorphisms of G is denoted by A(G). We find some cases when A(G) is a subgroup of Aut(G).
中文翻译:
关于一些有限p群的通态自同构
令G为一组,Aut(G)为其自同构组。一个自同构α的ģ被称为通勤构如果α(X)X =Xα(X)对于所有的x∈ģ。G的所有通勤自同构的集合由A(G)表示。我们发现当A(G)是Aut(G)的子组时的一些情况。