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math.GR2024
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.GR2024
Subgroups and diversity of left-orderable small cancellation groups
Markus Steenbock
We arrange classical small cancellation constructions to produce left-orderable groups: we show that every finitely generated group is the quotient of a left-ordered small cancella…