A sectional characterization of the Dade group
| dc.creator | Bouc, Serge | |
| dc.creator | Thévenaz, Jacques | |
| dc.date | 2008-08-28 | |
| dc.date.accessioned | 2026-07-07T09:59:07Z | |
| dc.date.available | 2026-07-07T09:59:07Z | |
| dc.description | Let $k$ be a field of characteristic $p$, let $P$ be a finite $p$- group, where $p$ is an odd prime, and let $D(P)$ be the Dade group of endo-permutation $kP$-modules. It is known that $D(P)$ is detected via deflation--restriction by the family of all sections of $P$ which are elementary abelian of rank $\leq2$. In this paper, we improve this result by characterizing $D(P)$ as the limit (with respect to deflation--restriction maps and conjugation maps) of all groups $D(T/S)$ where $T/S$ runs through all sections of $P$ which are either elementary abelian of rank $\leq3$ or extraspecial of order $p^3$ and exponent $p$. | |
| dc.identifier | https://arxiv.org/abs/0808.3935 | |
| dc.identifier | http://arxiv.org/abs/0808.3935 | |
| dc.identifier | Journal of Group Theory 11 (2008) 155-183 | |
| dc.identifier | doi:10.1515/JGT.2008.010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167918 | |
| dc.subject | Group Theory | |
| dc.subject | 20C20 | |
| dc.title | A sectional characterization of the Dade group | |
| dc.type | text |