A. Akhmedov

activity

20092024

most citedA new metric criterion for non-amenability I

1 citations · 1 across the 1 of their papers we have counts for

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math.GR2024

Irreducible discrete subgroups in products of simple Lie groups

Azer Akhmedov

We produce an example of an irreducible discrete subgroup in the product $S L (2, R) \times S L (2, R)$ which is not a lattice. This answers a question asked in [15].

math.GR2023

Big Tiles in Hyperbolic Groups

Azer Akhmedov

We prove that if $Γ$ is a word hyperbolic group and $K$ is a finite subset of $Γ$ , then $Γ$ admits a tile containing $K$ .

math.GR2023

Non-bi-orderable one-relator groups without generalized torsion

Azer Akhmedov, James Thorne

We construct examples of non-bi-orderable one-relator groups without generalized torsion. This answers a question asked in [2].

math.GR2016

Groups not acting on compact metric spaces by homeomorphisms

Azer Akhmedov

We show that the direct sum of uncountably many non-Abelian groups does not embed into the group of homeomorphisms of a compact metric space.

math.GR2009★ 1 cited

A new metric criterion for non-amenability I

Azer Akhmedov

By studying the so-called traveling salesman groups, we obtain a new metric criterion for non-amenability. As an application, we give a new and very short proof of non-amenability…