Almost Convex Groups and the Eight Geometries
| dc.creator | Shapiro, Michael | |
| dc.creator | Stein, Melany | |
| dc.date | 1993-06-16 | |
| dc.date.accessioned | 2026-07-07T09:14:54Z | |
| dc.date.available | 2026-07-07T09:14:54Z | |
| dc.description | If $M$ is a closed Nil geometry 3-manifold then $π_1(M)$ is almost convex with respect to a fairly simple ``geometric'' generating set. If $G$ is a central extension or a ${\Bbb Z}$-extension of a word hyperbolic group, then $G$ is also almost convex with respect to some generating set. Combining these with previously known results shows that if $M$ is a closed 3-manifold with one of Thurston's eight geometries, $π_1(M)$ is almost convex with respect to some generating set if and only if the geometry in question is not Sol. | |
| dc.description | Plain Tex, 14 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9306202 | |
| dc.identifier | http://arxiv.org/abs/math/9306202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152843 | |
| dc.subject | Group Theory | |
| dc.title | Almost Convex Groups and the Eight Geometries | |
| dc.type | text |