Traces of Torsion Units

Abstract

A conjecture due to Zassenhaus asserts that if $G$ is a finite group then any torsion unit in $\mathbb{Z}G$ is conjugate in $\mathbb{Q}G$ to an element of $G$. We present a weaker form of this conjecture for some infinite groups.

Key words and frases: Group Rings, torsion units, unique trace property, 7 pages