| Title |
Remarks on the end-topology of some discrete groups / |
| Authors |
Otera, Daniele Ettore |
| DOI |
10.3934/math.20231026 |
| Full Text |
|
| Is Part of |
AIMS mathematics.. Springfiekd, MO : AIMS Press. 2023, vol. 8, iss. 9, p. 20143-20153.. eISSN 2473-6988 |
| Keywords [eng] |
topology at infinity ; discrete groups ; hyperbolic spaces ; Cayley graphs ; growth |
| Abstract [eng] |
In this note we consider the notion of rate of vanishing of the simple connectivity at infinity, a (growth) function that estimates metrically the topology at infinity of metric spaces. In particular we provide a different (geometric) proof of the linearity of the sci-growth for hyperbolic groups. |
| Published |
Springfiekd, MO : AIMS Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
