A note on torsion length and torsion subgroups
Group Theory
2024-04-25 v3
Abstract
Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
Cite
@article{arxiv.2112.14546,
title = {A note on torsion length and torsion subgroups},
author = {Ian J. Leary and Ashot Minasyan},
journal= {arXiv preprint arXiv:2112.14546},
year = {2024}
}
Comments
4 pages Second version: 6 pages, more theory included