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

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

2007-03-19

arxiv.org/abs/math/0703541v1

Mathematics

Representation Theory

3 pages

Scientific paper

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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