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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Simple quotients of hyperbolic 3-manifold groups

Author(s): D. D. Long; A. W. Reid
Journal: Proc. Amer. Math. Soc. 126 (1998), 877-880.
MSC (1991): Primary 57M50, 57M60, 57R30
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Abstract | References | Similar articles | Additional information

Abstract: We show that hyperbolic $3$-manifolds have residually simple fundamental group.


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H. Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), 15-51. MR 82c:20014
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W. Narkiewicz, Algebraic Numbers, Polish Scientific Publishers, Warsaw, 1974. MR 50:268
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M. Suzuki, Group Theory I, Grundlehren der math. Wissen. 247, Springer-Verlag, 1980. MR 82k:20001c
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W. P. Thurston, The Geometry and Topology of 3-Manifolds, Mimeographed lecture notes, Princeton University, 1977.
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M-F. Vignéras, Arithmétique des algèbres de quaternions. L. N. M. 800, Springer-Verlag 1980. MR 82i:12016
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B. A. F. Wehrfritz, Infinite Linear Groups, Ergeb. Math. Grenz. 76, Springer-Verlag, 1973. MR 49:436


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Additional Information:

D. D. Long
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: long@math.ucsb.edu

A. W. Reid
Affiliation: Department of Mathematics, University of Texas, Austin, Texas 78712
Email: areid@math.utexas.edu

DOI: 10.1090/S0002-9939-98-04458-X
PII: S 0002-9939(98)04458-X
Keywords: $3$-manifold, residually simple.
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 of article: Copyright 1998, American Mathematical Society


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