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math.GR2014★ 1 cited
Tame filling invariants for groups
Mark Brittenham, Susan Hermiller
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…
math.GR2014★ 15 cited
Minimal Almost Convexity
Murray Elder, Susan Hermiller
In this article we show that the Baumslag-Solitar group is minimally almost convex, or . We also show that does not satisfy Poénaru's almost convexity cond…
math.GR2012
Conjugacy growth series and languages in groups
Laura Ciobanu, Susan Hermiller
In this paper we introduce the geodesic conjugacy language and geodesic conjugacy growth series for a finitely generated group. We study the effects of various group constructions…