Bulletin of the American Mathematical Society

MathSciNet review: 1567847
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Book Information:

Author: Bernard Maskit
Title: Kleinian groups
Additional book information: Grundlehren der Mathematischen Wissenschaften, vol. 287, Springer-Verlag, Berlin, Heidelberg, New York, 1988, xiii + 326 pp., $77.50. ISBN 3-540-178746-9.

Lars V. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413–429. MR 167618, DOI 10.2307/2373173

2.

J. Cannon, D. Epstein, D. Holt, M. Patterson and W. Thurston, Word processing and group theory, preprint.

D. B. A. Epstein, Computers, groups and hyperbolic geometry, Astérisque 163-164 (1988), 5, 9–29, 281 (1989) (English, with French summary). On the geometry of differentiable manifolds (Rome, 1986). MR 999970

D. B. A. Epstein and A. Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984) London Math. Soc. Lecture Note Ser., vol. 111, Cambridge Univ. Press, Cambridge, 1987, pp. 113–253. MR 903852

Ravi S. Kulkarni and Peter B. Shalen, On Ahlfors’ finiteness theorem, Adv. Math. 76 (1989), no. 2, 155–169. MR 1013665, DOI 10.1016/0001-8708(89)90046-7

6.

K. McMullen, Iteration on Teichmüller space, preprint.

Albert Marden, The geometry of finitely generated kleinian groups, Ann. of Math. (2) 99 (1974), 383–462. MR 349992, DOI 10.2307/1971059

A. Marden, Geometrically finite Kleinian groups and their deformation spaces, Discrete groups and automorphic functions (Proc. Conf., Cambridge, 1975) Academic Press, London, 1977, pp. 259–293. MR 0494117

S. J. Patterson, Lectures on measures on limit sets of Kleinian groups, Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984) London Math. Soc. Lecture Note Ser., vol. 111, Cambridge Univ. Press, Cambridge, 1987, pp. 281–323. MR 903855

G. P. Scott, Finitely generated $3$-manifold groups are finitely presented, J. London Math. Soc. (2) 6 (1973), 437–440. MR 380763, DOI 10.1112/jlms/s2-6.3.437

William P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357–381. MR 648524, DOI 10.1090/S0273-0979-1982-15003-0

William P. Thurston, Hyperbolic structures on $3$-manifolds. I. Deformation of acylindrical manifolds, Ann. of Math. (2) 124 (1986), no. 2, 203–246. MR 855294, DOI 10.2307/1971277

P. Tukia, A rigidity theorem for Möbius groups, Invent. Math. 97 (1989), no. 2, 405–431. MR 1001847, DOI 10.1007/BF01389048

1.

L. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math. 86 (1964), 413-429. MR 0167618

2.

J. Cannon, D. Epstein, D. Holt, M. Patterson and W. Thurston, Word processing and group theory, preprint.

3.

D. B. A. Epstein, Computers, groups, and hyperbolic geometry, Astérisque 163-164 (1988), 9-29. MR 999970

4.

D. B. A. Epstein and A. Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, Proc. of the Warwick Symposium, Cambridge Univ. Press, 1986, pp. 113-236. MR 903852

5.

R. Kulkarni and P. Shalen, On Ahlfors finiteness theorem, preprint. MR 1013665

6.

K. McMullen, Iteration on Teichmüller space, preprint.

7.

A. Marden, The geometry of finitely generated Kleinian groups, Ann. of Math. 99 (1974), 383-462. MR 349992

8.

A. Marden, Geometrically finite Kleinian groups and their deformation spaces, in Discrete groups and automorphic functions (W. Harvey, ed. ), Academic Press, New York, 1977, pp. 259-293. MR 494117

9.

S. J. Patterson, Measures on limit sets of Kleinian groups, in analytic and geometric aspects of hyperbolic space (D. B. A. Epstein, ed. ), London Math. Soc. Notes 111 (1987), 281-323. MR 903855

10.

P. Scott, Finitely generated 3-manifold groups are finitely presented, J. London Math. Soc. 6 (1973), 437-440. MR 380763

11.

W. P. Thurston, Three-dimensional manifolds, Kleinian groups, and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381. MR 648524

12.

W. P. Thurston, Hyperbolic structures on 3-manifolds I: Deformations of a cylindricalmanifold, Ann. of Math. 124 (1986), 203-246. MR 855294

13.

P. Tukia, A rigidity theorem for Möbius groups, Invent. Math. (to appear). MR 1001847