Antisymmetric elements in group rings with an orientation morphism
| dc.creator | Broche, O. | |
| dc.creator | Jespers, E. | |
| dc.creator | Ruiz, M. | |
| dc.date | 2007-05-22 | |
| dc.date.accessioned | 2026-07-07T08:02:49Z | |
| dc.date.available | 2026-07-07T08:02:49Z | |
| dc.description | Let $R$ be a commutative ring, $G$ a group and $RG$ its group ring. Let $ϕ_σ : RG\to RG$ denote the involution defined by $ϕ_σ (\sum r_{g}g) = \sum r_{g} σ(g) g^{-1}$, where $σ:G\to \{\pm 1\}$ is a group homomorphism (called an orientation morphism). An element $x$ in $RG$ is said to be antisymmetric if $ϕ_σ (x) =-x$. We give a full characterization of the groups $G$ and its orientations for which the antisymmetric elements of $RG$ commute. | |
| dc.identifier | https://arxiv.org/abs/0705.3106 | |
| dc.identifier | http://arxiv.org/abs/0705.3106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129348 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S34, 16W10, 16U60 | |
| dc.title | Antisymmetric elements in group rings with an orientation morphism | |
| dc.type | text |