G. Arzhantseva

activity

20042026

most citedAlmost commuting permutations are near commuting permutations

60 citations · 208 across the 27 of their papers we have counts for

collaborators

Showing 2018 · math.GRShow all

3 papers · 2 filters

math.GR2018★ 5 cited

Logarithmic girth expander graphs of $S L_{n} (F_{p})$

Goulnara Arzhantseva, Arindam Biswas

We provide an explicit construction of finite 4-regular graphs $(Γ_{k})_{k \in N}$ with $g i r t h Γ_{k} \to \infty$ as $k \to \infty$ and $\frac{d iam Γ _{k}}{g i r t h Γ _{k}} ⩽ D$ for…

math.GR2018★ 2 cited

Cogrowth for group actions with strongly contracting elements

Goulnara N. Arzhantseva, Christopher H. Cashen

Let $G$ be a group acting properly by isometries and with a strongly contracting element on a geodesic metric space. Let $N$ be an infinite normal subgroup of $G$ , and let $δ_{N}$ an…

math.GR2018

Unrestricted wreath products and sofic groups

Goulnara Arzhantseva, Federico Berlai, Martin Finn-Sell +1

We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group ext…

Logarithmic girth expander graphs of SLn​(Fp​)

Cogrowth for group actions with strongly contracting elements

Unrestricted wreath products and sofic groups

Logarithmic girth expander graphs of $S L_{n} (F_{p})$