Regular automorphisms of order p2

被引：0

作者：

Tao Xu

Heguo Liu

机构：

[1] Hebei University of Engineering,Department of Science

[2] Hubei University,Department of Mathematics

来源：

Frontiers of Mathematics in China | 2019年 / 14卷

关键词：

Polycyclic group; regular automorphism; residually finite; 20E36;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a group, and let α be a regular automorphism of order p2 of G, where p is a prime. If G is polycyclic-by-finite and the map φ: G → G defined by gφ = [g, α] is surjective, then G is soluble. If G is polycyclic, then CG(αp) and G/[G, αp] are both nilpotent-by-finite.

引用

页码：1367 / 1373

页数：6

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