Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups

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dc.creatorGhorbel, Amira
dc.creatorHamrouni, Hatem
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:42:57Z
dc.date.available2026-07-07T12:42:57Z
dc.descriptionThe discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if $G=N\times A$ is a connected, simply connected, nilpotent Lie group with an Abelian factor $A$, then every uniform subgroup of $G$ is the direct product of a uniform subgroup of $N$ and ${\mathbb Z}^r$ where $r=\dim A$.
dc.identifierhttps://arxiv.org/abs/0902.2977
dc.identifierhttp://arxiv.org/abs/0902.2977
dc.identifierSIGMA 5 (2009), 020, 17 pages
dc.identifierdoi:10.3842/SIGMA.2009.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220260
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.titleDiscrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
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