Alexei G. Myasnikov

activity

20082026

most citedUnification theorems in algebraic geometry

10 citations · 11 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.GR2025

Andrews-Curtis groups

Robert H. Gilman, Alexei G. Myasnikov

For any group $G$ and integer $k \geq 2$ the Andrews-Curtis transformations act as a permutation group, termed the Andrews-Curtis group $A C_{k} (G)$ , on the subset $N_{k} (G) \subset G^{k}$ …

math.GR2024★ 1 cited

Groups elementarily equivalent to metabelian Baumslag $-$ Solitar groups and regular bi-interpretability

Evelina Daniyarova, Alexei Myasnikov

We prove that metabelian Baumslag $-$ Solitar group $B S (1, k)$ , $k > 1$ , is (strongly) regularly bi-interpretable with the ring of integers $Z$ , and describe in algebraic terms…

Andrews-Curtis groups

Groups elementarily equivalent to metabelian Baumslag−Solitar groups and regular bi-interpretability

Groups elementarily equivalent to metabelian Baumslag $-$ Solitar groups and regular bi-interpretability