Journal of Lie Theory

no. 1
Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups
Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 1-8
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.
DOI: 10.5802/jolt.219
Classification: 22E25, 22E40
Keywords: lattice, simply connected nilpotent Lie group 
@article{JOLT_2001_11_1_a0,
     author = {O. G. 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},
     doi = {10.5802/jolt.219},
     zbl = {0967.22005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.219/}
}
TY  - JOUR
AU  - O. G. do Rocio
TI  - Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups
JO  - Journal of Lie Theory
PY  - 2001
SP  - 1
EP  - 8
VL  - 11
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.219/
DO  - 10.5802/jolt.219
ID  - JOLT_2001_11_1_a0
ER  - 
%0 Journal Article
%A O. G. do Rocio
%T Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups
%J Journal of Lie Theory
%D 2001
%P 1-8
%V 11
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.219/
%R 10.5802/jolt.219
%F JOLT_2001_11_1_a0
O. G. do Rocio. Maximal Semigroups in the Divisible Hull of Lattices in Nilpotent Lie Groups. Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 1-8. doi: 10.5802/jolt.219

Cited by Sources: