Quasiconvex Subgroups and Nets in Hyperbolic Groups
| dc.creator | Mack, Thomas | |
| dc.date | 2006-08-09 | |
| dc.date | 2006-08-10 | |
| dc.date.accessioned | 2026-07-07T07:21:33Z | |
| dc.date.available | 2026-07-07T07:21:33Z | |
| dc.description | Consider a hyperbolic group G and a quasiconvex subgroup H of infinite index. We construct a set-theoretic section s of the quotient map (of sets) from G to G/H such that s(G/H) is a net in G; that is, any element of G is a bounded distance from s(G/H). This section arises naturally as a set of points minimizing word-length in each fixed coset gH. The left action of G on G/H induces an action on s(G/H), which we use to prove that H contains no infinite subgroups normal in G. | |
| dc.description | 15 pages, 1 figure; v3: Replaced another typo; v2: Replaced minor typo in abstract | |
| dc.identifier | https://arxiv.org/abs/math/0608212 | |
| dc.identifier | http://arxiv.org/abs/math/0608212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115338 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20F67 (Primary) 20F65 (Secondary) | |
| dc.title | Quasiconvex Subgroups and Nets in Hyperbolic Groups | |
| dc.type | text |