【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 ...