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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
MathSciNet review:
1459136
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Additional information
Abstract:
We show that hyperbolic  -manifolds have residually simple fundamental group.
References:
- 1.
- H. Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), 15-51. MR 82c:20014
- 2.
- W. Narkiewicz, Algebraic Numbers, Polish Scientific Publishers, Warsaw, 1974. MR 50:268
- 3.
- M. Suzuki, Group Theory I, Grundlehren der math. Wissen. 247, Springer-Verlag, 1980. MR 82k:20001c
- 4.
- W. P. Thurston, The Geometry and Topology of 3-Manifolds, Mimeographed lecture notes, Princeton University, 1977.
- 5.
- M-F. Vignéras, Arithmétique des algèbres de quaternions. L. N. M. 800, Springer-Verlag 1980. MR 82i:12016
- 6.
- 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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