4 citations · 14 across the 27 of their papers we have counts for
5 papers · 1 filter
Cayley graphs with an infinite Heesch number
Azer Akhmedov
We construct a 2-generated group such that its Cayley graph possesses finite connected subsets with arbitrarily big finite Heesch number.
Arithmetic Sets in Groups
Azer Akhmedov, Damiano Fulghesu
We define a notion of an arithmetic set in an arbitrary countable group and study properties of these sets in the cases of Abelian groups and non-abelian free groups.
Some applications of Hölder's theorem in groups of analytic diffeomorphisms of 1-manifolds
Azer Akhmedov, Michael P. Cohen
We obtain a simple obstruction to embedding groups into the analytic diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into $\mathrm{Diff}_{+}^{ω}…
Balance in Random Trees
Azer Akhmedov, Warren Shreve
We prove that a random labeled (unlabeled) tree is balanced. We also prove that random labeled and unlabeled trees are strongly -balanced for any .
On the height of subgroups of Homeo(I)
Azer Akhmedov
In [Bl1], it is proved that a subgroup of has a finite height if and only if it is solvable. We prove the "only if" part for any subgroup of Homeo, and present…