D. Ovchinnikov

activity

20162020

most citedRandom nilpotent groups, polycyclic presentations, and Diophantine problems

2 citations · 3 across the 5 of their papers we have counts for

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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…