Journal of Lie Theory, Vol. 11, No. 1, pp. 1-8 (2001)

Maximal semigroups in the divisible hull of lattices in nilpotent Lie groups

Osvaldo Germano do Rocio

Departamento de Matemática
Universidade Estadual de Maringá
Cx.Postal 331
87.020-900 Maringá-Pr
Brasil

Abstract: 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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