A. Miasnikov

activity

20062026

most citedStallings graphs for quasi-convex subgroups

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

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math.AG2026

An explicit tame factorization of the four-variable Anick automorphism

Alexei Miasnikov, Ivan Shestakov

Let $δ = x z - y t$ . We give an explicit tame factorization of the Anick automorphism $(x + δ t, y + δ z, z, t)$ of $F [x, y, z, t]$ . After a linear change of coordinates, the factorization consists…

math.GR2026

On the first-order genus of wreath products and their central extensions

Olga Kharlampovich, Alexei Miasnikov, Denis Osin

We prove that groups of the form $Z^{m} wr Z^{n}$ , where $m, n \in N$ , are regularly bi-interpretable with $Z$ and therefore are first-order ri…

math.GR2026

Tensor completions of 2-nilpotent finitely generated torsion-free groups

Mikheil Amaglobeli, Alexei Miasnikov

In this paper, we study tensor completions $G \otimes_{N_{2, R}} R$ of finitely generated torsion-free nilpotent groups $G$ of class $2$ in the quasivariety $\mathcal{N}_{…