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Equations in the Q-completion of a torsion-free hyperbolic group
Author(s):
O.
Kharlampovich;
E.
Lioutikova;
A.
Myasnikov
Journal:
Trans. Amer. Math. Soc.
351
(1999),
2961-2978.
MSC (1991):
Primary 20E05, 20F10
Posted:
March 1, 1999
MathSciNet review:
1443195
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Abstract:
In this paper we prove the algorithmic solvability of finite systems of equations over the Q-completion of a torsion-free hyperbolic group.
References:
- 1.
- O. Kharlampovich, A. Myasnikov. Equations in a free Q-group. Trans. Amer. Math. Soc. 350 (1998), 947-974. CMP 98:05
- 2.
- O. Kharlampovich, A. Myasnikov. Hyperbolic groups and free constructions. Trans. Amer. Math. Soc. 350 (1998), 571-613.
- 3.
- A. Yu. Ol'shanskii. On residualing homomorphisms and G-subgroups of hyperbolic groups. International Journal of Algebra and Computation, 3(4):365-409, 1993. MR 94i:20069
- 4.
- E. Rips and Z. Sela. Canonical representatives and equations in hyperbolic groups. Invent. Math., 120: 489-512, 1995. MR 96c:20053
- 5.
- Thomas Delzant. Finitely presented subgroups of hyperbolic groups. (Preprint)
- 6.
- G. S. Makanin. Equations in a free group. Math. USSR Izv., V. 21, 1983. MR 84m:20040
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Additional Information:
O.
Kharlampovich
Affiliation:
Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec, H3A 2K6 Canada
Email:
olga@triples.math.mcgill.ca
E.
Lioutikova
Affiliation:
Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec, H3A 2K6, Canada
Email:
kate@triples.math.mcgill.ca
A.
Myasnikov
Affiliation:
Department of Mathematics, City College (CUNY), Convent Ave. at 138th Street, New York, New York 10031-9100
Email:
alexei@jolly2.sci.ccny.cuny.edu
DOI:
10.1090/S0002-9947-99-02010-3
PII:
S 0002-9947(99)02010-3
Received by editor(s):
August 14, 1996
Posted:
March 1, 1999
Additional Notes:
The first author was supported by grants from NSERC and FCAR
The third author was supported by the NSF grant DMS-9103098
Copyright of article:
Copyright
1999,
American Mathematical Society
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