Equations in the Q-completion of a torsion-free hyperbolic group
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- by O. Kharlampovich, E. Lioutikova and A. Myasnikov PDF
- Trans. Amer. Math. Soc. 351 (1999), 2961-2978 Request permission
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
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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
- MR Author ID: 191704
- 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
- MR Author ID: 670299
- Email: alexei@jolly2.sci.ccny.cuny.edu
- Received by editor(s): August 14, 1996
- Published electronically: 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 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 2961-2978
- MSC (1991): Primary 20E05, 20F10
- DOI: https://doi.org/10.1090/S0002-9947-99-02010-3
- MathSciNet review: 1443195