设G是有限生成无挠幂零群,α是G的4阶自同构且 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。 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.
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有限生成无挠幂零群的4阶自同构
马 晓迪,徐 涛. 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[J]. 理论数学, 2016, 06(05): 437-440. http://dx.doi.org/10.12677/PM.2016.65059
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