The non-existence of a non-abelian nilpotent Lie group with one discrete uniform subgroup up to automorphism

DOI10.1007/s00013-012-0383-1zbMath1280.22016OpenAlexW1986260473WikidataQ115390102 ScholiaQ115390102MaRDI QIDQ431210

Hatem Hamrouni, Salah Souissi

Publication date: 26 June 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0383-1

zbMATH Keywords

Chabauty topologysolvable Lie groupdiscrete uniform subgroup

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) Automorphisms of infinite groups (20E36)

Cites Work

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• Lectures on hyperbolic geometry
• Character formulas and spectra of compact nilmanifolds
• Lie groups and Lie algebras II. Transl. from the Russian by John Danskin
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Groups of homeomorphisms of a simply connected space
• Remarks on a conjecture of Chabauty
• Flows on solvmanifolds
• Limite d'ensembles et géométrie des nombres
• On the Discrete Subgroups and Homogeneous Spaces of Nilpotent Lie Groups

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