2014/10/10 by Mark Brittenham, Susan Hermiller, Brittenham, Mark +1
Mathematics · #20F06 #20F65 #20F69 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F06 #msc:20F65 #msc:20F69
paper · pdf · doi:10.48550/arxiv.1410.2669
This paper was derived from part of the paper at arXiv:1109.6309
arxiv created 2014/10/10 · arxiv updated 2014/10/13
A new pair of asymptotic invariants for finitely presented groups, called intrinsic and extrinsic tame filling functions, are introduced. These filling functions are quasi-isometry invariants that strengthen the notions of intrinsic and extrinsic diameter functions for finitely presented groups. We show that the existence of a (finite-valued) tame filling function implies that the group is tame combable. Bounds on both intrinsic and extrinsic tame filling functions are discussed for stackable groups, including groups with a finite complete rewriting system, Thompson's group F, and almost convex groups.