【作者单位】1 School of Mathematics and Statistics, Hubei University, Wuhan 430062, China
2 Department of Mathematics, Hainan University, Haikou 570228, China
3 Department of Mathematics, Taiyuan Normal University, Jinzhong, Shanxi 031609, China
【年份】2022
【卷号】Vol.30 No.1
【页码】10
【ISSN】1005-3867
【关键词】residual finiteness infinite soluble group nilpotent group polycyclic group Automorphism Abelian group Finite Residually finite group Cyclic permutation
【摘要】 LetAAbe a completely decomposable homogeneous torsion-free abelian group of ranknn.Let[character omitted]m=A⋊⟨α⟩[character omitted]m=A⋊⟨α⟩be the split extension ofAAby an automorphismααwhich is a cyclic permutation of the direct components twisted by...