Coxeter systems with two-dimensional Davis-Vinberg complexes
| dc.creator | Hosaka, Tetsuya | |
| dc.date | 2004-05-28 | |
| dc.date.accessioned | 2026-07-07T05:08:41Z | |
| dc.date.available | 2026-07-07T05:08:41Z | |
| dc.description | In this paper, we study Coxeter systems with two-dimensional Davis-Vinberg complexes. We show that for a Coxeter group $W$, if $(W,S)$ and $(W,S')$ are Coxeter systems with two-dimensional Davis-Vinberg complexes, then there exists $S''\subset W$ such that $(W,S'')$ is a Coxeter system which is isomorphic to $(W,S)$ and the sets of reflections in $(W,S'')$ and $(W,S')$ coincide. Hence the Coxeter diagrams of $(W,S)$ and $(W,S')$ have the same number of vertices, the same number of edges and the same multiset of edge-labels. This is an extension of results of A.Kaul and N.Brady, J.P.McCammond, B.Mühlherr and W.D.Neumann. | |
| dc.identifier | https://arxiv.org/abs/math/0405553 | |
| dc.identifier | http://arxiv.org/abs/math/0405553 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71367 | |
| dc.subject | Group Theory | |
| dc.subject | 20F55, 20F65, 57M07 | |
| dc.title | Coxeter systems with two-dimensional Davis-Vinberg complexes | |
| dc.type | text |