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Klyachko, Anton A.; Mikheenko, Mikhail A.; Roman'kov, Vitaly A.
Journal of algebra, 01/2024, Letnik: 638Journal Article
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 abelian torsion-free quotients has a solution in a larger group with a similar subnormal series of the same length (and an analogous fact is valid for systems of equations).
