Closed approximate subgroups: compactness, amenability and approximate lattices
We investigate properties of closed approximate subgroups of locally compact groups, with a particular interest for approximate lattices (i.e., those approximate subgroups that are discrete and have finite co-volume).
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424000677/type/journal_article |
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| _version_ | 1832594047676448768 |
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| author | Simon Machado |
| author_facet | Simon Machado |
| author_sort | Simon Machado |
| collection | DOAJ |
| description | We investigate properties of closed approximate subgroups of locally compact groups, with a particular interest for approximate lattices (i.e., those approximate subgroups that are discrete and have finite co-volume). |
| format | Article |
| id | doaj-art-0b60f220040b4224bc8b244244c90ca5 |
| institution | Kabale University |
| issn | 2050-5094 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-0b60f220040b4224bc8b244244c90ca52025-01-20T06:08:12ZengCambridge University PressForum of Mathematics, Sigma2050-50942025-01-011310.1017/fms.2024.67Closed approximate subgroups: compactness, amenability and approximate latticesSimon Machado0https://orcid.org/0000-0002-1787-6864ETH Zurich, Rämistrasse 101, CH-8006 Zurich, Switzerland Institute for Advanced Study, United StatesWe investigate properties of closed approximate subgroups of locally compact groups, with a particular interest for approximate lattices (i.e., those approximate subgroups that are discrete and have finite co-volume).https://www.cambridge.org/core/product/identifier/S2050509424000677/type/journal_article20N9922D0520G15 |
| spellingShingle | Simon Machado Closed approximate subgroups: compactness, amenability and approximate lattices Forum of Mathematics, Sigma 20N99 22D05 20G15 |
| title | Closed approximate subgroups: compactness, amenability and approximate lattices |
| title_full | Closed approximate subgroups: compactness, amenability and approximate lattices |
| title_fullStr | Closed approximate subgroups: compactness, amenability and approximate lattices |
| title_full_unstemmed | Closed approximate subgroups: compactness, amenability and approximate lattices |
| title_short | Closed approximate subgroups: compactness, amenability and approximate lattices |
| title_sort | closed approximate subgroups compactness amenability and approximate lattices |
| topic | 20N99 22D05 20G15 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424000677/type/journal_article |
| work_keys_str_mv | AT simonmachado closedapproximatesubgroupscompactnessamenabilityandapproximatelattices |