3 papers
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…
math.GR2018
Product set growth in groups and hyperbolic geometry
Thomas Delzant, Markus Steenbock
Generalising results of Razborov and Safin, and answering a question of Button, we prove that for every hyperbolic group there exists a constant such that for every finite su…