【作者单位】1Departments of Mathematics, Taiyuan Normal University, 030619, Shanxi, China;2School of Mathematics and Statistics, Hubei University, 430062, Wuhan, China;3School of Science, Hainan University, 570228, Haikou, China
【年份】2023
【卷号】Vol.18 No.3
【页码】707-716
【ISSN】2731-8648
【关键词】Free abelian group automorphism polycyclic group residually finite group
【摘要】 Let A be a free abelian group of rank n and ϕ be an automorphism of A , then A langle phi rangle is a polycyclic group. This paper investigates the residual finiteness of A langle phi rangle, and the special case that ϕ is a cyclic permutation of th...