### Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices

Abels H, Manoussos A (2012)
Advances in Mathematics 229(3): 1862-1872.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Abstract / Bemerkung
In this paper we bring together results about the density of subsemigroups ofabelian Lie groups, the minimal number of topological generators of abelian Liegroups and a result about actions of algebraic groups. We find the minimalnumber of generators of a finitely generated abelian semigroup or group ofmatrices with a dense or a somewhere dense orbit by computing the minimalnumber of generators of a dense subsemigroup (or subgroup) of the connectedcomponent of the identity of its Zariski closure.
Erscheinungsjahr
2012
Zeitschriftentitel
Band
229
Ausgabe
3
Seite(n)
1862-1872
ISSN
0001-8708
Page URI
https://pub.uni-bielefeld.de/record/2319161

### Zitieren

Abels H, Manoussos A. Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices. Advances in Mathematics. 2012;229(3):1862-1872.
Abels, H., & Manoussos, A. (2012). Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices. Advances in Mathematics, 229(3), 1862-1872. doi:10.1016/j.aim.2011.11.015
Abels, H., and Manoussos, A. (2012). Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices. Advances in Mathematics 229, 1862-1872.
Abels, H., & Manoussos, A., 2012. Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices. Advances in Mathematics, 229(3), p 1862-1872.
H. Abels and A. Manoussos, “Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices”, Advances in Mathematics, vol. 229, 2012, pp. 1862-1872.
Abels, H., Manoussos, A.: Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices. Advances in Mathematics. 229, 1862-1872 (2012).
Abels, Herbert, and Manoussos, Antonios. “Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices”. Advances in Mathematics 229.3 (2012): 1862-1872.

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arXiv: 1108.1123