Pascal's Triangles in Abelian and Hyperbolic Groups
| dc.creator | Shapiro, Michael | |
| dc.date | 1996-11-27 | |
| dc.date.accessioned | 2026-07-07T09:15:39Z | |
| dc.date.available | 2026-07-07T09:15:39Z | |
| dc.description | Pascal's triangle will give the number of geodesics from the identity to each point of ${\bf Z}^2$ if you write it in each of the quadrants. Given a group $G$ and generating set $\cal G$ we take the {\it Pascal's function} $p_{\cal G}: G \to {\bf Z}_{\ge 0}$ to be the function which assigns to each $g\in G$ the number of geodesics from $1$ to $g$. We give a general method for calculating this in hyperbolic groups and discuss the generic case in abelian groups. | |
| dc.description | DVI file only, 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/9611206 | |
| dc.identifier | http://arxiv.org/abs/math/9611206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153089 | |
| dc.subject | Group Theory | |
| dc.title | Pascal's Triangles in Abelian and Hyperbolic Groups | |
| dc.type | text |