Zariski density and genericity

International Mathematics Research Notices

Volumn 2010, Issue 19, 2010, Pages 3649-3657

  Rivin, Igor ^a  

^a Temple University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957977860     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1093/imrn/rnq043     Document Type: Article

References (11)

1. Bestvina, M. and M. Handel. "Train tracks and automorphisms of free groups." Annals of Mathematics Second Series 135, no. 1(1992):1-51.
2. Brinkmann, P. "Hyperbolic automorphisms of free groups." Geometric and Functional Analysis 10, no. 5(2000):1071-89.
3. Celler, F. and C. R. Leedham-Green. "A Non-constructive Recognition Algorithm for the Special Linear and Other Classical Groups." In Groups and Computation, II (New Brunswick, NJ, 1995), 61-7. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 28. Providence, RI: American Mathematical Society, 1997.
4. Guralnick, R. M., W. M. Kantor, and J. Saxl. "The probability of generating a classical group. " Communications in Algebra 22, no. 4(1994):1395-402.
5. Kapovich, I. and M. Lustig. "Ping-pong and outer space." (2009): preprint arXiv:math. GR.
6. Matthews, C. R., L. N. Vaserstein, and B. Weisfeiler. "Congruence properties of Zariski-dense subgroups. I." Proceedings of the London Mathematical Society Third Series 48, no. 3(1984):514-32.
7. Niemeyer, A. C. and C. E. Praeger. "A recognition algorithm for classical groups over finite fields." Proceedings of the London Mathematical Society Third Series 77, no. 1(1998):117-69.
8. Rivin, I. "Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms." Duke Mathematical Journal 142, no. 2(2008):353-79.
9. Rivin, I. "Walks on graphs and lattices - effective bounds and applications." Forum Mathematicum 21, no. 4(2009):673-85.
10. Tits, J. "Free subgroups in linear groups." Journal of Algebra 20(1972):250-70.
11. Weigel, T. "On the Profinite Completion of Arithmetic Groups of Split Type." In Lois d'algèbres et Variétés Algébriques (Colmar, 1991), 79-101. Travaux en Cours 50. Paris: Hermann, 1996.