The Lattice Subgroups Conjecture
Journal of Lie Theory, Volume 19 (2009) no. 3, pp. 527-530
It has been conjectured by L. Corwin and F. P. Greenleaf that if Γ is a lattice subgroup of a connected, simply connected nilpotent Lie group G then log(Γ) is a Lie ring. In this note we show that this conjecture holds.
DOI:
10.5802/jolt.566
Classification:
22E40
Keywords: Nilpotent Lie group, discrete uniform subgroup, lattice subgroup, rational structure
Keywords: Nilpotent Lie group, discrete uniform subgroup, lattice subgroup, rational structure
@article{JOLT_2009_19_3_a4,
author = {A. Ghorbel and H. Hamrouni},
title = {The {Lattice} {Subgroups} {Conjecture}},
journal = {Journal of Lie Theory},
pages = {527--530},
year = {2009},
volume = {19},
number = {3},
doi = {10.5802/jolt.566},
zbl = {1194.22013},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.566/}
}
A. Ghorbel; H. Hamrouni. The Lattice Subgroups Conjecture. Journal of Lie Theory, Volume 19 (2009) no. 3, pp. 527-530. doi: 10.5802/jolt.566
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