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Markovic, V. (Vladimir). (2006) Quasisymmetric groups. American Mathematical Society. Journal, Vol.19 (No.3). pp. 673-715. ISSN 0894-0347
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Official URL: http://dx.doi.org/10.1090/S0894-0347-06-00518-2
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Quasisymmetric groups |
| Journal or Publication Title: | American Mathematical Society. Journal |
| Publisher: | American Mathematical Society |
| ISSN: | 0894-0347 |
| Date: | 2006 |
| Volume: | Vol.19 |
| Number: | No.3 |
| Page Range: | pp. 673-715 |
| Identification Number: | 10.1090/S0894-0347-06-00518-2 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
| References: | [1] W. Abikoff, C. Earle, S. Mitra, Barycentric extensions of monotone maps of the circle, Contemp. Math., Vol. 355, Amer. Math. Soc., Providence, RI, 2004, pp. 1–20. MR2145053 [2] B. Bowditch, A topological characterization of hyperbolic groups, J. Amer. Math. Soc. 11 (1998), no. 3, 643–667. MR1602069 (99c:20048) [3] A. Casson, D. Jungreis, Convergence groups and Seifert fibered 3-manifolds, Invent. Math. 118 (1994), no. 3, 441–456. MR1296353 (96f:57011) [4] A. Douady, C. Earle, Conformally natural extension of homeomorphisms of the circle, Acta Math. 157 (1986), no. 1-2, 23–48. MR0857678 (87j:30041) [5] D. Epstein, V. Markovic, Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disc, Warwick preprints (2004). [6] D. Epstein, A. Marden, V. Markovic, Quasiconformal homeomorphisms and the convex hull boundary, Ann. of Math. (2) 159 (2004), no. 1, 305–336. MR2052356 (2005d:30067) [7] M. Freedman, R. Skora, Strange actions of groups on spheres, J. Differential Geom. 25 (1987), no. 1, 75–98. MR0873456 (88a:57074) [8] D. Gabai, Convergence groups are Fuchsian groups, Bull. Amer. Math. Soc. (N.S.) 25 (1991), no. 2, 395-402. MR1102752 (92h:57056) [9] F. Gehring, G. Martin, Discrete quasiconformal groups, Proc. London Math. Soc. (3) 55 (1987), no. 2, 331–358. MR0896224 (88m:30057) [10] F. Gehring, G. Martin, Discrete convergence groups, Complex analysis, I (College Park, MD, 1985–86), 158–167, Lecture Notes in Math., 1275, Springer, Berlin (1987). MR0922298 (89a:30014) [11] F. Gehring, B. Palka, Quasiconformally homogeneous domains, J. Analyse Math. 30 (1976), 172–199. MR0437753 (55:10676) [12] Z. He, O. Schramm, Fixed points, Koebe uniformization and circle packings Ann. of Math. 137, no. 2, 369–406 (1993). MR1207210 (96b:30015) [13] J. Heinonen, P. Koskela, Definitions of quasiconformality, Invent. Math. 120, 61-79 (1995). MR1323982 (96e:30051) [14] A. Hinkkanen, Uniformly quasisymmetric groups, Proc. London Math. Soc. (3) 51 (1985), no. 2, 318–338. MR0794115 (87d:30021) [15] A. Hinkkanen, Abelian and nondiscrete convergence groups on the circle, Trans. Amer. Math. Soc. 318 (1990), no. 1, 87–121. MR1000145 (91g:30025) [16] A. Hinkkanen, The structure of certain quasisymmetric groups, Mem. Amer. Math. Soc. 83 (1990). MR0948926 (90d:30063) [17] S. Katok, Fuchsian groups, Chicago Lectures in Mathematics, University of Chicago Press, (1992). MR1177168 (93d:20088) [18] O. Kozlovski, W. Shen, S. van Strien, Density of hyperbolicity in dimension one, Warwick preprints (2003). [19] G. Martin, Discrete quasiconformal groups that are not the quasiconformal conjugates of M¨obius groups, Ann. Acad. Sci. Fenn. Ser. A I Math. 11 (1986), no. 2, 179–202. MR0853955 (89d:30025) [20] G. Martin, P. Tukia, Convergence and M¨obius groups, Holomorphic functions and moduli, Vol. II (1986), 113–140. MR0955836 (89m:30095) [21] C. Pommerenke, Boundary behavior of conformal maps, Grundlehren der Mathematischen Wissenschaften, Springer-Verlag (1992). MR1217706 (95b:30008) [22] D. Smania, Puzzle geometry and rigidity, preprint (2002). [23] D. Sullivan, On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (1978), pp. 465–496. MR0624833 (83f:58052) [24] W. Thurston, Three-dimensional geometry and topology, Princeton Mathematical Series, 35, Princeton University Press, Princeton, NJ (1997). MR1435975 (97m:57016) [25] P. Tukia, On two-dimensional quasiconformal groups, Ann. Acad. Sci. Fenn. Ser. A I Math. 5 (1980), no. 1, 73–78. MR0595178 (82c:30031) [26] P. Tukia, A quasiconformal group not isomorphic to a M¨obius group, Ann. Acad. Sci. Fenn. Ser. A I Math. 6 (1981), no. 1, 149–160. MR0639972 (83b:30019) [27] P. Tukia, Homeomorphic conjugates of Fuchsian groups, J. Reine Angew. Math. 391 (1988), 1–54. MR0961162 (89m:30047) |
| URI: | http://wrap.warwick.ac.uk/id/eprint/4296 |
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