Units of $p$-power order in principal $p$-blocks of $p$-constrained groups
| dc.creator | Hertweck, Martin | |
| dc.date | 2006-12-15 | |
| dc.date.accessioned | 2026-07-07T07:35:22Z | |
| dc.date.available | 2026-07-07T07:35:22Z | |
| dc.description | Let $G$ be a finite group having a normal $p$-subgroup $N$ that contains its centralizer $\text{C}_{G}(N)$, and let $R$ be a $p$-adic ring. It is shown that any finite $p$-group of units of augmentation one in $RG$ which normalizes $N$ is conjugate to a subgroup of $G$ by a unit of $RG$, and if it centralizes $N$ it is even contained in $N$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612434 | |
| dc.identifier | http://arxiv.org/abs/math/0612434 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120067 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20C05, 16U60 (Primary) | |
| dc.title | Units of $p$-power order in principal $p$-blocks of $p$-constrained groups | |
| dc.type | text |