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

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
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 ...
Amira Ghorbel, Hatem Hamrouni
doaj   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Noether’s Problem for p-Groups with Abelian Normal Subgroups and Central p-Powers

open access: yesMathematics
This paper addresses Noether’s problem for p-groups G, having an abelian normal subgroup of index p, under the condition Gp={gp:g∈G}≤Z(G)—the center of G.
Ivo M. Michailov, Ivailo A. Dimitrov
doaj   +1 more source

Fundamental solutions and harmonic analysis on nilpotent groups [PDF]

open access: diamond, 1990
Alexander Nagel   +2 more
openalex   +1 more source

Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions [PDF]

open access: green, 2022
Esther Bou Dagher   +3 more
openalex   +1 more source

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