The orders of torsion units in integral group rings of finite solvable groups

Abstract

It is shown that for any torsion unit of augmentation one in the integral group ring $\mathbb{Z}G$ of a finite solvable group $G$, there is an element of $G$ of the same order.

3 pages

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• Finite groups of units and their composition factors in the integral group rings of the groups $\text{PSL}(2,q)$