Isoperimetric functions for graph products
| dc.creator | Cohen, Daniel E. | |
| dc.date | 1993-10-16 | |
| dc.date.accessioned | 2026-07-07T09:14:58Z | |
| dc.date.available | 2026-07-07T09:14:58Z | |
| dc.description | Let $Γ$ be a finite graph, and for each vertex $i$ let $G_i$ be a finitely presented group. Let $G$ be the graph product of the $G_i$. That is, $G$ is the group obtained from the free product of the $G_i$ by factoring out by the smallest normal subgroup containing all $[g,h]$ where $g\in G_i$ and $h\in G_j$ and there is an edge joining i and j . We show that $G$ has an isoperimetric function of degree $k\ge 2$ (or an exponential isoperimetric function) if each vertex group has such an isoperimetric function. | |
| dc.description | AMS-Tex, 5 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9310208 | |
| dc.identifier | http://arxiv.org/abs/math/9310208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152867 | |
| dc.subject | Group Theory | |
| dc.title | Isoperimetric functions for graph products | |
| dc.type | text |