On a group whose generalized torsion elements are torsion elements
Group Theory
2026-02-11 v2
Abstract
We show that a group whose generalized torsion elements are torsion elements (which we call a -group) is torsion-by- group, an extension of torsion group by a group without generalized torsion elements. We also discuss a generalized torsion group, a group all of whose non-trivial elements are generalized torsion elements.
Keywords
Cite
@article{arxiv.2303.05726,
title = {On a group whose generalized torsion elements are torsion elements},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:2303.05726},
year = {2026}
}
Comments
6 pages, no figures Question 1 and 2 are updated