The loop shortening property and almost convexity

Abstract

We introduce the "loop shortening property" and the "basepoint loop shortening property" for finitely generated groups, and examine their relation to quadratic isoperimetric functions and almost convexity.

Appeared in 2003. I am putting all my past papers on arvix

References in corpus (4)

• Automatic structures, rational growth and geometrically finite hyperbolic groups
• Finiteness and the falsification by fellow traveler property
• A non-Hopfian almost convex group
• Patterns theory and geodesic automatic structure for a class of groups

Cited by in corpus (3)

• Minimal Almost Convexity
• Regular geodesic languages and the falsification by fellow traveler property
• A Cayley graph for $F_2\times F_2$ which is not minimally almost convex