Lie groups as permutation groups: Ulam’s problem in the nilpotent case
Abstract: Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate the relevance of nilpotent groups for Ulam’s problem.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Lie groups as permutation groups: Ulam’s problem in the nilpotent case ; volume:25 ; number:5 ; year:2022 ; pages:851-865 ; extent:15
Journal of group theory ; 25, Heft 5 (2022), 851-865 (gesamt 15)
- Creator
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Monod, Nicolas
- DOI
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10.1515/jgth-2021-0168
- URN
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urn:nbn:de:101:1-2022082914264325691199
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:30 AM CEST
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Associated
- Monod, Nicolas
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