Simple quotients of hyperbolic 3-manifold groups
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- by D. D. Long and A. W. Reid PDF
- Proc. Amer. Math. Soc. 126 (1998), 877-880 Request permission
Abstract:
We show that hyperbolic $3$-manifolds have residually simple fundamental group.References
- Hyman Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), no. 1, 15–51. MR 586867, DOI 10.2140/pjm.1980.86.15
- Władysław Narkiewicz, Elementary and analytic theory of algebraic numbers, Monografie Matematyczne, Tom 57, PWN—Polish Scientific Publishers, Warsaw, 1974. MR 0347767
- Michio Suzuki, Gun ron. Vol. 1, Gendai Sūgaku [Modern Mathematics], vol. 18, Iwanami Shoten, Tokyo, 1977 (Japanese). MR 514842
- W. P. Thurston, The Geometry and Topology of 3-Manifolds, Mimeographed lecture notes, Princeton University, 1977.
- Marie-France Vignéras, Arithmétique des algèbres de quaternions, Lecture Notes in Mathematics, vol. 800, Springer, Berlin, 1980 (French). MR 580949, DOI 10.1007/BFb0091027
- B. A. F. Wehrfritz, Infinite linear groups. An account of the group-theoretic properties of infinite groups of matrices, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 76, Springer-Verlag, New York-Heidelberg, 1973. MR 0335656
Additional Information
- D. D. Long
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 201087
- Email: long@math.ucsb.edu
- A. W. Reid
- Affiliation: Department of Mathematics, University of Texas, Austin, Texas 78712
- MR Author ID: 146355
- Email: areid@math.utexas.edu
- Received by editor(s): November 28, 1995
- Additional Notes: Supported by the NSF (both authors) and The Royal Society (second author)
- Communicated by: James West
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 877-880
- MSC (1991): Primary 57M50, 57M60, 57R30
- DOI: https://doi.org/10.1090/S0002-9939-98-04458-X
- MathSciNet review: 1459136