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Preprint Number 2023
2023. Martin Bays, Jan Dobrowolski, Tingxiang Zou Elekes-Szabó for groups, and approximate subgroups in weak general position E-mail: Submission date: 12 July 2021 Abstract: We show that with a suitable weak notion of general position, the Elekes-Szabó condition on the group operation of a connected complex algebraic group characterises nilpotence of the group. Along the way, we prove a Mordell-Lang result for generic finitely generated subgroups of commutative complex algebraic groups. Mathematics Subject Classification: 05E15 (Primary) 03C98, 22E25, 14K05 (Secondary) Keywords and phrases: |
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