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 |
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Original language | English |
Pages (from-to) | 513 - 523 |
Number of pages | 13 |
Journal | Journal of Group Theory |
Volume | 5 (4) |
Publication status | Published - 2002 |