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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Equations in a free $\mathbf{Q}$-group


Authors: O. Kharlampovich and A. Myasnikov
Journal: Trans. Amer. Math. Soc. 350 (1998), 947-974
MSC (1991): Primary 20E05, 20F10
MathSciNet review: 1389782
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Abstract: An algorithm is constructed that decides if a given finite system of equations over a free $\mathbf{Q}$-group has a solution, and if it does, finds a solution.


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Additional Information

O. Kharlampovich
Affiliation: Department of Mathematics and Statistics, McGill University, Montréal, P.Q., Canada H3A 2K6
Email: olga@triples.math.mcgill.ca

A. Myasnikov
Affiliation: Department of Mathematics, City College (CUNY), Convent Avenue and 138th Street, New York, New York 10031-9100
Email: alexei@rio.sci.ccny.cuny.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-98-01798-X
PII: S 0002-9947(98)01798-X
Received by editor(s): April 5, 1996
Additional Notes: The first author was supported by grants from NSERC and FCAR; the second author was supported by the NSF Grant DMS-9103098
Article copyright: © Copyright 1998 American Mathematical Society