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On the Residual Finiteness of a Class of Infinite Soluble Groups

  • 【作者】Jun Liao,Heguo Liu,Xiaoliang Luo and Xingzhong Xu
  • 【刊名】Algebra Colloquium
  • 【作者单位】School of Mathematics and Statistics, Hubei University, Wuhan 430062, China E-mail Address: [email protected] Department of Mathematics, Hainan University, Haikou 570228, China E-mail Address: [email protected] Department of Mathematics, Taiyuan Normal University, Jinzhong, Shanxi 031609, China E-mail Address: [email protected] School of Mathematics and Statistics, Hubei University, Wuhan 430062, China E-mail Address: [email protected] Corresponding author.
  • 【年份】2023
  • 【卷号】Vol.30 No.1
  • 【页码】155-164
  • 【ISSN】1005-3867
  • 【关键词】residual finiteness infinite soluble group nilpotent group polycyclic group 
  • 【摘要】 Let A be a completely decomposable homogeneous torsion-free abelian group of rank n . Let Θm=A⋊⟨α⟩ be the split extension of A by an automorphism α which is a cyclic permutation of the direct components twisted by a rational integer m. Then Θm is an ...
  • 【文献类型】 期刊
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