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On groups of automorphisms of nilpotent $p$-groups of finite rank
Czechoslovak Mathematical Journal ( IF 0.4 ) Pub Date : 2020-04-22 , DOI: 10.21136/cmj.2020.0262-19
Tao Xu , Heguo Liu

Let α and β be automorphisms of a nilpotent p-group G of finite rank. Suppose that 〈(αβ(g))(βα(g))–1: g ∈G〉 is a finite cyclic subgroup of G, then, exclusively, one of the following statements holds for G and Γ, where Γ is the group generated by α and β.

中文翻译:

关于幂零$p$-有限秩群的自同构群

设 α 和 β 是有限秩的幂零 p 群 G 的自同构。假设 〈(αβ(g))(βα(g))–1: g ∈G〉 是 G 的一个有限循环子群,那么,唯一的,下列陈述之一对 G 和 Γ 成立,其中 Γ 是群由 α 和 β 生成。
更新日期:2020-04-22
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