paper

Generalized torsion orders of generalized torsion elements

arXiv:2310.02577 · doi:10.4153/S0008439524000432

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.

20 pages, no figures

Generalized torsion orders of generalized torsion elements · wovepaper