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arXiv · 1909.12151

Infinite Approximate Subgroups of Soluble Lie Groups

Simon Machado
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Abstract

We study infinite approximate subgroups of soluble Lie groups. Generalising a theorem of Fried and Goldman we show that approximate subgroups are close, in a sense to be defined, to genuine connected subgroups. Building up on this result we prove a structure theorem for approximate lattices in soluble Lie groups. This extends to soluble Lie groups a theorem about quasi-crystals due to Yves Meyer.

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Simon Machado. 2019-09-26. Infinite Approximate Subgroups of Soluble Lie Groups. https://arxiv.org/abs/1909.12151

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