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Infinite approximate subgroups of soluble Lie groups

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Peer-reviewed

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Article

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Abstract

jats:titleAbstract</jats:title>jats:pWe study infinite approximate subgroups of soluble Lie groups. We show that approximate subgroups are close, in a sense to be defined, to genuine connected subgroups. Building upon 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.</jats:p>

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Journal Title

Mathematische Annalen

Conference Name

Journal ISSN

0025-5831
1432-1807

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Publisher

Springer Science and Business Media LLC

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All rights reserved
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EPSRC (2117723)