Equations in the q-completion of a torsion-free hyperbolic group

O. Kharlampovich; E. Lioutikova; A. Myasnikov

doi:10.1090/s0002-9947-99-02010-3

Equations in the q-completion of a torsion-free hyperbolic group

O. Kharlampovich
, E. Lioutikova
, A. Myasnikov

Department of Mathematical Sciences

City University of New York

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper we prove the algorithmic solvability of finite systems of equations over the Q-completion of a torsion-free hyperbolic group.

Original language	English
Pages (from-to)	2961-2978
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	351
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9947-99-02010-3
State	Published - 1999

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title = "Equations in the q-completion of a torsion-free hyperbolic group",

abstract = "In this paper we prove the algorithmic solvability of finite systems of equations over the Q-completion of a torsion-free hyperbolic group.",

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AU - Lioutikova, E.

AU - Myasnikov, A.

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N2 - In this paper we prove the algorithmic solvability of finite systems of equations over the Q-completion of a torsion-free hyperbolic group.

AB - In this paper we prove the algorithmic solvability of finite systems of equations over the Q-completion of a torsion-free hyperbolic group.

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VL - 351

SP - 2961

EP - 2978

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Equations in the q-completion of a torsion-free hyperbolic group

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