PM  >> Vol. 7 No. 3 (May 2017)

    A Finite Extension of a Finitely Generated Torsion-Free Nilpotent Groups with Automorphisms of Order Four

  • 全文下载: PDF(291KB) HTML   XML   PP.155-158   DOI: 10.12677/PM.2017.73019  
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马晓迪:南京理工大学计算机科学与工程学院,江苏 南京;
张艳萍,徐涛:河北工程大学数理学院,河北 邯郸

有限生成无挠幂零群有限扩张自同构Finitely Generated Torsion-Free Nilpotent Group Finite Extension Automorphism



Let G be a finite extension of a finitely generated torsion-free nilpotent group and α be an automorphism of order four of G. If the map G→G defined by Gφ=[g,α] is surjective, then the second derived subgroup G'' is included in the centre of G and CG(α2) is an Abelian group.

马晓迪, 张艳萍, 徐涛. 有限生成无挠幂零群的有限扩张的4阶自同构[J]. 理论数学, 2017, 7(3): 155-158.


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