有限生成无挠幂零群的4阶自同构
Finitely Generated Torsion-Free Nilpotent Groups Admitting an Automorphism of Order Four
作者: 马 晓迪 ：南京理工大学计算机科学与工程学院，江苏 南京; 徐 涛 ：河北工程大学理学院，河北 邯郸;
关键词: 有限生成； 无挠幂零群； 正则自同构； 自同构； Finitely Generated； Torsion-Free Nilpotent Group； Regular Automorphism； Automorphism
摘要:
是满射，则G的二阶导群G'' 包含在G的中心Z(G) 里且CG(α2) 是Abel群。Abstract: Let G be a finitely generated torsion-free nilpotent group and α an automorphism of order four of G. If the map G→G defined by
is surjective, then the second derived subgroup G'' is included in the centre of G and CG(α2) is abelian.
文章引用: 马 晓迪 , 徐 涛 (2016) 有限生成无挠幂零群的4阶自同构。 理论数学， 6， 437-440. doi: 10.12677/PM.2016.65059
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