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

Martin Hertweck
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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.

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Martin Hertweck. 2007-03-19. The orders of torsion units in integral group rings of finite solvable groups. https://arxiv.org/abs/math/0703541

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