3 papers
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.GR2025
On what finitely generated (left-orderable) simple groups can know about their subgroups
Arman Darbinyan, Markus Steenbock
In this paper, we survey some of the recent advances on embeddings into finitely generated (left-orderable) simple group such that the overgroup preserves algorithmic, geometric, o…
math.GR2025
Random Quotients of Free Products
Eduard Einstein, Suraj Krishna M S, MurphyKate Montee +2
We introduce a density model for random quotients of a free product of finitely generated groups. We prove that a random quotient in this model has the following properties with ov…