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Infinite approximate subgroups of soluble Lie groups

MATHEMATISCHE ANNALEN (2022)

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Infinite approximate subgroups of soluble Lie groups

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Summary: The study investigates infinite approximate subgroups of soluble Lie groups, showing their proximity to genuine connected subgroups in a defined sense. Building on this, a structure theorem for approximate lattices in soluble Lie groups is proved, extending Yves Meyer's theorem on quasi-crystals to the context of soluble Lie groups.

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