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most citedYet another Freiheitssatz: Mating finite groups with locally indicable ones

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math.GR2024

Infinite systems of equations in abelian and nilpotent groups

Mikhail A. Mikheenko

Every abelian (and even every nilpotent) group contains a solution of any finite unimodular system of equations over itself. However, this is not true for infinite systems. We dedu…