Maximal semigroups in finitely generated nilpotent groups
DOI:
https://doi.org/10.22199/S07160917.1998.0001.00004Abstract
We obtain a classification of maximal subsemigroups of finitely generated nilpotent groups. In the principal results of this paper we show that there is a one-to-one correspondence between these subsemigroups and the non trivial homomorphisms of the group in R.
References
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[6] Rocio, O. G. and L. A. B. San Martín: Discrete semigroups in nilpotent Lie groups, Semigroup Forum, Vol. 51, pp. 125- 133, (1995).
[7] Rocio, O. G. and L. A. B. San Martín: Semigroups in lattice of solvable Lie groups. Journal of Líe Theory, 5, pp. 179-202, (1996).
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[2] Lawson, J. : Maximal semigroups of Lie groups that are total, Proc. Edinburgh Math. Soc. Vol. 30, pp. 479- 501, (1987).
[3] Matsushima, Y. : On the discrete subgroups and homogeneous spaces of nilpotent Lie groups, Nagoya Math. J., pp. 365-416, (1951).
[4] Raghunathan, M. S. : "Discrete subgroups of Líe groups", Springer-Verlag, (1972).
[5] Ribemboim, P. : "Théorie des groupes ordonnés", Monografias de Matemática. Universidade Nacional del Sur, Bahia Blanca, ( 1963).
[6] Rocio, O. G. and L. A. B. San Martín: Discrete semigroups in nilpotent Lie groups, Semigroup Forum, Vol. 51, pp. 125- 133, (1995).
[7] Rocio, O. G. and L. A. B. San Martín: Semigroups in lattice of solvable Lie groups. Journal of Líe Theory, 5, pp. 179-202, (1996).
[8] Magnus, W., Karras, A. and D. Solitar,: Combinatorial group theory, Pure and applied mathematícs. Vol. 13, (1966).
[9] Margulis, G. A.: Discrete subgroups of semisimple Líe groups, Springer-Verlag, (1989).
Published
2018-04-04
How to Cite
[1]
O. G. do Rocío, “Maximal semigroups in finitely generated nilpotent groups”, Proyecciones (Antofagasta, On line), vol. 17, no. 1, pp. 55-62, Apr. 2018.
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