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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…
math.GR2026
Algebraic groups over free and hyperbolic groups
Vincent Guirardel, Chloé Perin
We define an algebraic group over a group to be a variety - that is, a subset of defined by equations over - endowed with a group law whose coordinates can be express…