Semidirect product decomposition of Coxeter groups
| dc.creator | Bonnafé, Cédric | |
| dc.creator | Dyer, Matthew J. | |
| dc.date | 2008-05-27 | |
| dc.date | 2008-07-09 | |
| dc.date.accessioned | 2026-07-07T09:48:57Z | |
| dc.date.available | 2026-07-07T09:48:57Z | |
| dc.description | Let $(W,S)$ be a Coxeter system, let $S=I \dot{\cup} J$ be a partition of $S$ such that no element of $I$ is conjugate to an element of $J$, let $\widetilde{J}$ be the set of $W_I$-conjugates of elements of $J$ and let $\widetilde{W}$ be the subgroup of $W$ generated by $\widetilde{J}$. We show that $W=\widetilde{W} \rtimes W_I$ and that $(\widetilde{W},\widetilde{J})$ is a Coxeter system. | |
| dc.description | 28 pages, one table. We have added some comments on parabolic subgroups, double cosets representatives, finite and affine Weyl groups, invariant theory, Solomon descent algebra | |
| dc.identifier | https://arxiv.org/abs/0805.4100 | |
| dc.identifier | http://arxiv.org/abs/0805.4100 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164408 | |
| dc.subject | Group Theory | |
| dc.subject | 20F55 | |
| dc.title | Semidirect product decomposition of Coxeter groups | |
| dc.type | text |