Cheeger constant and algebraic entropy of linear groups

International Mathematics Research Notices

Volumn , Issue 56, 2005, Pages 3511-3523

  Breuillard, Emmanuel ^a   Gelander, Tsachik ^b  

^a UNIV LILLE   (France)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644540819     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/IMRN.2005.3511     Document Type: Review

References (11)

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3. E. Breuillard and T. Gelander, On dense free subgroups of Lie groups, J. Algebra 261 (2003), no. 2, 448-467.
4. _, A topological Tits alternative, to appear in Ann. of Math.
5. _, A uniform Tits alternative, in preperation.
6. E. Breuillard, T. Gelander, and A. Salehi-Golsefidy, On uniform exponental growth in general characteristic, an appendix to [5], in preparation.
7. A. Eskin, S. Mozes, and H. Oh, On uniform exponential growth for linear groups, Invent. Math. 160 (2005), no. 1, 1-30.
8. T. Gelander and A. Żuk, Dependence of Kazhdan constants on generating subsets, Israel J. Math. 129 (2002), 93-98.
9. R. Grigorchuk and P. de la Harpe, Limit behaviour of exponential growth rates for finitely generated groups, Essays on Geometry and Related Topics, Vol. 1, 2, Monogr. Enseign. Math., vol. 38, L'Enseignement Mathématique, Geneva, 2001, pp. 351-370.
10. Y. Shalom, Explicit Kazhdan constants for representations of semisimple and arithmetic groups, Ann. Inst. Fourier (Grenoble) 50 (2000), no. 3, 833-863.
11. J. Tits, Free subgroups in linear groups, J. Algebra 20 (1972), no. 2, 250-270.