A note on torsion length and torsion subgroups

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.

4 pages Second version: 6 pages, more theory included

References in corpus (2)

• A note on torsion length
• Torsion, torsion length and finitely presented groups