60 citations · 208 across the 27 of their papers we have counts for
5 papers · 2 filters
Almost commuting permutations are near commuting permutations
Goulnara Arzhantseva, Liviu Paunescu
We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our res…
Rips construction without unique product
Goulnara Arzhantseva, Markus Steenbock
Given a finitely presented group we produce a short exact sequence such that is a torsion-free Gromov hyperbolic grou…
Graphical small cancellation groups with the Haagerup property
Goulnara Arzhantseva, Damian Osajda
We prove the Haagerup property (= Gromov's a-T-menability) for finitely generated groups defined by infinite presentations satisfying the graphical C'(lambda)-small cancellation co…
Relative expanders
Goulnara Arzhantseva, Romain Tessera
We exhibit a finitely generated group and a sequence of finite index normal subgroups such that for every finite generating subset , the se…
Growth Tight Actions
Goulnara N. Arzhantseva, Christopher H. Cashen, Jing Tao
We introduce and systematically study the concept of a growth tight action. This generalizes growth tightness for word metrics as initiated by Grigorchuk and de la Harpe. Given a f…