On dense free subgroups of Lie groups

Journal of Algebra

Volumn 261, Issue 2, 2003, Pages 448-467

  Breuillard, E ^a   Gelander, T ^b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037445085     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00675-0     Document Type: Article

References (13)

1. H. Abels, G.A. Margulis, G.A. Soifer, Semigroups containing proximal linear maps, Israel J. Math. 91 (1-3) (1995) 1-30.
2. Y. Benoist, Propriétés asymptotiques des groupes linéaires, GAFA, Geom. Funct. Anal. 7 (1997) 1-47.
3. N. Bourbaki, Groupes et algèbres de Lie, Hermann, 1975, Chapitres 7 et 8.
4. F. Bruhat, J. Tits, Groupes réductifs sur on corps local, I. Données radicielles valuées, Publ. Math. Inst. Hautes Études Sci. 41 (1972).
5. P. De la Harpe, Topics in Geometrical Group Theory, Chicago Univ. Press, 2000.
6. P. De la Harpe, Free groups in linear groups, Enseign. Math. 29 (1983) 129-144.
7. D.B.A. Epstein, Almost all subgroups of a Lie group are free, J. Algebra 19 (1971) 261-262.
8. Y. Carrière, E. Ghys, Relations d'équivalence moyennables sur les groupes de Lie, C. R. Acad. Sci. Paris Sér. I 300 (19) (1985) 677-680.
9. M. Kuranishi, On everywhere dense embedding of free groups in Lie groups, Nagoya Math. J. 2 (1951) 63-71.
10. V. Platonov, A. Rapinchuk, Algebraic Groups and Number Theory, Academic Press, 1994.
11. M.S. Raghunathan, Discrete Subgroups of Lie Groups, in: Ergeb. Math. Grenzgeb., Band 68, 1972.
12. J. Tits, Free subgroups of linear groups, J. Algebra 20 (1972) 250-270.
13. B. Zimmer, Amenable actions and dense subgroups of Lie groups, J. Funct. Anal. 72 (1) (1987) 58-64.