Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups
Journal of Lie theory, Tome 11 (2001) no. 1, pp. 1-8.

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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.
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     author = {O. G. do Rocio },
     title = {Maximal {Semigroups} in the {Divisible} {Hull} of {Lattices} in {Nilpotent} {Lie} {Groups}},
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O. G. 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/JLT_2001_11_1_JLT_2001_11_1_a0/