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Journal of Lie Theory 11 (2001), No. 1, 001--008
Copyright Heldermann Verlag 2001

Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups

Osvaldo Germano do Rocio
Dep. de Matemática, Universidade Estadual, 87.020-900 Maringá - Pr, Brazil

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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