
The geometry of groups satisfying weak
almostconvexity or weak geodesiccombability conditions
Tim R. Riley Journal of Group Theory, 5(4), pages 513–525, 2002. We examine the geometry of the word problem of two different types groups: those satisfying weak almostconvexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, nonvacuous constraints. In both cases we obtain an n! isoperimetric function and n^{2} bounds on the minimal isodiametric function and the filling length function.
