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|
|Pages (from-to)||513 - 523|
|Number of pages||13|
|Journal||Journal of Group Theory|
|Publication status||Published - 2002|