Journal of Lie Theory

no. 3
The Lattice Subgroups Conjecture
Amira Ghorbel1; Hatem Hamrouni1
1Dept. of Mathematics, Faculty of Sciences at Sfax, Route Soukra -- B.P. 1171, 3000 Sfax, Tunisia
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

Amira Ghorbel  1 ; Hatem Hamrouni  1

1 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, Volume 19 (2009) no. 3, pp. 527-530. doi: 10.5802/jolt.566
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