Abstract
We examine the geometry of the word problem of two different types of groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, non-vacuous constraints. In both cases we obtain an n! isoperimetric function and n(2) upper bounds on the minimal isodiametric function and the filling length function.
| Translated title of the contribution | The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions |
|---|---|
| Original language | English |
| Pages (from-to) | 513 - 523 |
| Number of pages | 13 |
| Journal | Journal of Group Theory |
| Volume | 5 (4) |
| Publication status | Published - 2002 |