The asymptotic density of finite-order elements in virtually nilpotent groups
| dc.creator | Dani, Pallavi | |
| dc.date | 2006-01-06 | |
| dc.date.accessioned | 2026-07-07T06:58:35Z | |
| dc.date.available | 2026-07-07T06:58:35Z | |
| dc.description | Let G be a finitely generated group with a given word metric. The asymptotic density of elements in G that have a particular property P is defined to be the limit, as r goes to infinity, of the proportion of elements in the ball of radius r which have the property P. We obtain a formula to compute the asymptotic density of finite-order elements in any virtually nilpotent group. Further, we show that the spectrum of numbers that occur as such asymptotic densities consists of exactly the rational numbers in [0,1). | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601126 | |
| dc.identifier | http://arxiv.org/abs/math/0601126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107417 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.title | The asymptotic density of finite-order elements in virtually nilpotent groups | |
| dc.type | text |