Unit groups of integral finite group rings with no noncyclic abelian finite subgroups

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dc.creatorHertweck, Martin
dc.date2007-04-03
dc.date.accessioned2026-07-07T07:54:27Z
dc.date.available2026-07-07T07:54:27Z
dc.descriptionIt is shown that in the units of augmentation one of an integral group ring $\mathbb{Z} G$ 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 W. Kimmerle.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0704.0412
dc.identifierhttp://arxiv.org/abs/0704.0412
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126616
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16S34, 16U60 (Primary) 20C05 (Secondary)
dc.titleUnit groups of integral finite group rings with no noncyclic abelian finite subgroups
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