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

DOI10.1090/S0002-9947-99-02010-3zbMath0942.20010OpenAlexW1563971279MaRDI QIDQ4243634

Ekaterina Lioutikova, O. G. Kharlampovich, Alexei G. Myasnikov

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02010-3

zbMATH Keywords

algorithmstorsion-free hyperbolic groupsfinite systems of equations\(\mathbf Q\)-completions

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Knapsack problems in groups

Cites Work

• Unnamed Item
• On the acylindrical accessibility of finitely presented groups
• Canonical representatives and equations in hyperbolic groups
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• Hyperbolic groups and free constructions
• Equations in a free 𝐐-group

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