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.
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页码：1367 / 1373
页数：6
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