Generalized torsion orders of generalized torsion elements
Group Theory
2026-02-11 v1
Abstract
A non-trivial element of a group is a generalized torsion element if some products of its conjugates is the identity. The minimum number of such conjugates is called a generalized torsion order. We provide several restrictions for generalized torsion orders by using -invariant norm and Alexander polynomials.
Cite
@article{arxiv.2310.02577,
title = {Generalized torsion orders of generalized torsion elements},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:2310.02577},
year = {2026}
}
Comments
20 pages, no figures