Book Review
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MathSciNet review:
1567662
Full text of review:
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Book Information:
Author:
Alan F. Beardon
Title:
The geometry of discrete groups
Additional book information:
Graduate Texts in Mathematics, vol. 91, Springer-Verlag, Berlin and New York, 1983, xii + 337 pp., $39.00. ISBN 0-387-90788-2.
William Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. MR 590044
Travaux de Thurston sur les surfaces, Astérisque, vol. 66, Société Mathématique de France, Paris, 1979 (French). Séminaire Orsay; With an English summary. MR 568308
W. J. Harvey, Spaces of discrete groups, Discrete groups and automorphic functions (Proc. Conf., Cambridge, 1975) Academic Press, London, 1977, pp. 295–348. MR 0498974
Troels Jørgensen, On discrete groups of Möbius transformations, Amer. J. Math. 98 (1976), no. 3, 739–749. MR 427627, DOI 10.2307/2373814
Olli Lehto, Univalent functions and Teichmüller spaces, Graduate Texts in Mathematics, vol. 109, Springer-Verlag, New York, 1987. MR 867407, DOI 10.1007/978-1-4613-8652-0
John W. Morgan, The Smith conjecture, The Smith conjecture (New York, 1979) Pure Appl. Math., vol. 112, Academic Press, Orlando, FL, 1984, pp. 3–6. MR 758460, DOI 10.1016/S0079-8169(08)61632-3
7. W. Thurston, The geometry and topology of 3-manifolds, Lecture Notes, Princeton Univ., 1980.
Hsien-chung Wang, Discrete nilpotent subgroups of Lie groups, J. Differential Geometry 3 (1969), 481–492. MR 260930
- 1.
- W. Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Math., vol. 820, Springer-Verlag, Berlin and New York, 1980. MR 0590044
- 2.
- A. Fathi, F. Laudenbach, V. Poenaru et al., Travaux de Thurston sur les surfaces, Astérisque 66-67 (1979). MR 568308
- 3.
- W. J. Harvey (ed. ), Discrete groups and automorphic functions, Academic Press, New York, 1977. MR 498974
- 4.
- T. Jørgensen, On discrete groups of Möbius transformations, Amer. J. Math. 98 (1976), 739-749. MR 427627
- 5.
- O. Lehto, Univalent functions and Teichmüller spaces, Springer-Verlag, 1987. MR 867407
- 6.
- J. W. Morgan and H. Bass (eds. ), The Smith conjecture, Academic Press, New York, 1984. MR 758460
- 7.
- W. Thurston, The geometry and topology of 3-manifolds, Lecture Notes, Princeton Univ., 1980.
- 8.
- H. -C. Wang, Discrete nilpotent subgroups of Lie groups, J. Differential Geom. 3 (1969), 481-492. MR 260930
Review Information:
Reviewer:
Clifford J. Earle
Journal:
Bull. Amer. Math. Soc.
18 (1988), 78-80
DOI:
https://doi.org/10.1090/S0273-0979-1988-15608-X