Unit Groups of Integral Finite Group Rings with No Noncyclic Abelian Finite p-Subgroups |
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| Authors: | Martin Hertweck |
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| Affiliation: | 1. Faculty of Mathematics , University of Stuttgart, IGT , Stuttgart, Germany hertweck@mathematik.uni-stuttgart.de |
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| Abstract: | It is shown that in the units of augmentation one of an integral group ring ? G of a finite group G, a noncyclic subgroup of order p 2, for some odd prime p, exists only if such a subgroup exists in G. The corresponding statement for p = 2 holds by the Brauer–Suzuki theorem, as recently observed by Kimmerle. |
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| Keywords: | Integral group ring Partial augmentation Torsion unit |
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