Hypercyclic abelian subgroups of GL(n, ℝ)

Autor:	Adlene Ayadi, Habib Marzougui, Ezzeddine Salhi
Rok vydání:	2012
Předmět:	Discrete mathematics Combinatorics Mathematics::Group Theory Algebra and Number Theory Integer Locally finite group Applied Mathematics Finitely-generated abelian group Characterization (mathematics) Orbit (control theory) Abelian group Analysis Mathematics
Zdroj:	Journal of Difference Equations and Applications. 18:721-738
ISSN:	1563-5120 1023-6198
DOI:	10.1080/10236198.2011.582466
Popis:	We give a complete characterization of abelian subgroups of GL(n, ℝ) with a locally dense (resp. dense) orbit in ℝ n . For finitely generated subgroups, this characterization is explicit and it is used to show that no abelian subgroup of GL(n, ℝ) generated by [(n+1/2)] matrices can have a dense orbit in ℝ n ([ ] denotes the integer part).
Databáze:	OpenAIRE
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