Elekes-Szabó for groups, and approximate subgroups in weak general position

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...

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Main Authors: Bays, M, Dobrowolski, J, Zou, T
格式: Journal article
语言:English
出版: Alliance of Diamond Open Access Journals 2023