English

On the structure of a poly-$\mathbb{Z}$ group

Group Theory 2021-01-18 v3

Abstract

In this paper we study a certain class of polycyclic groups. We outline a method for constructing a poly-Z\mathbb{Z} group GnG_n by describing a process for selecting maps that are used to extend GiG_i to Gi+1G_{i+1} for 1in11 \leq i \leq n-1 and describe the multiplicative structure and automorphism groups of some poly-Z\mathbb{Z} groups up to G3G_3.

Keywords

Cite

@article{arxiv.2012.10510,
  title  = {On the structure of a poly-$\mathbb{Z}$ group},
  author = {Madeline Weinstein},
  journal= {arXiv preprint arXiv:2012.10510},
  year   = {2021}
}
R2 v1 2026-06-23T21:05:21.473Z