most citedGrowth of quasi-convex subgroups in groups with a constricting element

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.GR2026★ 2 cited

Growth of quasi-convex subgroups in groups with a constricting element

Xabier Legaspi

Given a group G acting on a geodesic metric space, we consider a preferred collection of paths of the space -- a path system -- and study the spectrum of relative exponential growt…

math.GR2026

Uniform growth in small cancellation groups

Xabier Legaspi, Markus Steenbock

An open question asks whether every group acting acylindrically on a hyperbolic space has uniform exponential growth. We prove that the class of groups of uniform uniform exponenti…