Geodesic
Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups
Osvaldo Germano do Rocio1, 2, 3
1Dep. de Matemática, Universidade Estadual, 87.020-900 Maringá - Pr, Brazil
2We consider subsemigroups in the divisible hull of lattices in nilpotent Lie groups. Our principal result shows that such a semigroup is a group provided it is not contained in a proper semigroup with non-empty interior.
3[
Journal of Lie Theory, Tome 11 (2001) no. 1, pp. 1-8 
Osvaldo Germano do Rocio. Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups. Journal of Lie Theory, Tome 11 (2001) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a0/
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     author = {Osvaldo Germano do Rocio},
     title = {Maximal {Semigroups} in the {Divisible} {Hull} of {Lattices} in {Nilpotent} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1--8},
     year = {2001},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a0/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

We consider subsemigroups in the divisible hull of lattices in nilpotent Lie groups. Our principal result shows that such a semigroup is a group provided it is not contained in a proper semigroup with non-empty interior.