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

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

The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A, then every uniform subgroup of G is the direct p...

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Bibliographic Details
Main Authors: Amira Ghorbel, Hatem Hamrouni
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
nilpotent Lie group
discrete subgroup
nil-manifold
rational structures
Smith normal form
Hermite normal form
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.020

Internet

http://dx.doi.org/10.3842/SIGMA.2009.020

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