Infinite approximate subgroups of soluble Lie groups
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Peer-reviewed
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Authors
Machado, Simon https://orcid.org/0000-0002-1787-6864
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
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Journal ISSN
0025-5831
1432-1807
1432-1807
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Springer Science and Business Media LLC
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All rights reserved
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EPSRC (2117723)