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math.GR2023
On the Andrews-Curtis groups: non-finite presentability
Vitaly Roman'kov
The Andrews-Curtis conjecture remains one of the outstanding open problems in combinatorial group theory. It claims that every normally generating -tuple of a free group o…
math.GR2023★ 4 cited
Equations over solvable groups
Anton A. Klyachko, Mikhail A. Mikheenko, Vitaly A. Roman'kov
Not any nonsingular equation over a metabelian group has solution in a larger metabelian group. However, any nonsingular equation over a solvable group with a subnormal series with…