Partial augmentations and Brauer character values of torsion units in group rings
| dc.creator | Hertweck, Martin | |
| dc.date | 2006-12-15 | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:38Z | |
| dc.date.available | 2026-07-07T07:50:38Z | |
| dc.description | For a torsion unit $u$ of the integral group ring $\mathbb{Z} G$ of a finite group $G$, and a prime $p$ which does not divide the order of $u$ (but the order of $G$), a relation between the partial augmentations of $u$ on the $p$-regular classes of $G$ and Brauer character values is noted, analogous to the obvious relation between partial augmentations and ordinary character values. For non-solvable $G$, consequences concerning rational conjugacy of $u$ to a group element are discussed, considering as examples the symmetric group $S_{5}$ and the groups $\text{\rm PSL}(2,p^{f})$. | |
| dc.description | 16 pages, LateX. Thoroughly revised. Added references. Changed presentation of modular method. Lemma 5.6 replaced by Proposition 2.2 | |
| dc.identifier | https://arxiv.org/abs/math/0612429 | |
| dc.identifier | http://arxiv.org/abs/math/0612429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125228 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16S34, 16U60 (Primary) 20C05 (Secondary) | |
| dc.title | Partial augmentations and Brauer character values of torsion units in group rings | |
| dc.type | text |