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.
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Dept. of Mathematics, Faculty of Sciences at Sfax, Route Soukra -- B.P. 1171, 3000 Sfax, Tunisia
Amira Ghorbel; Hatem Hamrouni. The Lattice Subgroups Conjecture. Journal of Lie Theory, Tome 19 (2009) no. 3, pp. 527-530. http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a4/
@article{JOLT_2009_19_3_a4,
author = {Amira Ghorbel and Hatem Hamrouni},
title = {The {Lattice} {Subgroups} {Conjecture}},
journal = {Journal of Lie Theory},
pages = {527--530},
year = {2009},
volume = {19},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a4/}
}
TY - JOUR
AU - Amira Ghorbel
AU - Hatem Hamrouni
TI - The Lattice Subgroups Conjecture
JO - Journal of Lie Theory
PY - 2009
SP - 527
EP - 530
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a4/
ID - JOLT_2009_19_3_a4
ER -