A. Miasnikov

activity

20062026

most citedStallings graphs for quasi-convex subgroups

23 citations · 47 across the 20 of their papers we have counts for

collaborators

Showing 2016 · math.GRShow all

3 papers · 2 filters

math.GR2016★ 2 cited

Random nilpotent groups, polycyclic presentations, and Diophantine problems

Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov

We introduce a model of random f.g., torsion-free, $2$ -step nilpotent groups (in short, $τ_{2}$ -groups). To do so, we show that these are precisely the groups that admit a presentati…

math.GR2016

Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity

Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov

We study finitely generated nilpotent groups $G$ given by full rank finite presentations $⟨ A ∣ R ⟩$ in the variety $N_{c}$ of nilpotent groups of class at mo…

math.GR2016★ 1 cited

On groups elementarily equivalent to a group of triangular matrices $T_{n} (R)$

Alexei Miasnikov, Mahmood Sohrabi

In this paper we investigate the structure of groups elementarily equivalent to the group $T_{n} (R)$ of all invertible upper triangular $n \times n$ matrices, where $n \geq 3$ and $R$ …

Random nilpotent groups, polycyclic presentations, and Diophantine problems

Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity

On groups elementarily equivalent to a group of triangular matrices Tn​(R)

On groups elementarily equivalent to a group of triangular matrices $T_{n} (R)$