H. Hamrouni

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

3 citations · 5 across the 3 of their papers we have counts for

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math.GR2016

Locally compact groups approximable by subgroups isomorphic to $Z$ or $R$

Hatem Hamrouni, Karl H. Hofmann

Let $G$ be a locally compact topological group, $G_{0}$ the connected component of its identity element, and comp(G) the union of all compact subgroups. A topological group will be c…

math.GR2009★ 2 cited

On the Moore Formula of Compact Nilmanifolds

Hatem Hamrouni

Let $G$ be a connected and simply connected two-step nilpotent Lie group and $Γ$ a lattice subgroup of $G$ . In this note, we give a new multiplicity formula, according to the sense…

math.GR2009★ 3 cited

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

Amira Ghorbel, Hatem Hamrouni

The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if $G = N \times A$ is a…

Locally compact groups approximable by subgroups isomorphic to Z or R

On the Moore Formula of Compact Nilmanifolds

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

Locally compact groups approximable by subgroups isomorphic to $Z$ or $R$