The equivalence of some residual properties of word-hyperbolic groups

DOI10.1006/jabr.1999.8104zbMath0951.20029OpenAlexW2057847072MaRDI QIDQ1970969

Ilya Kapovich, Daniel T. Wise

Publication date: 25 September 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8104

zbMATH Keywords

residually finite groupsword-hyperbolic groupsfinite quotient groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

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Cites Work

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• A combination theorem for negatively curved groups
• Automatic groups and amalgams
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Endomorphisms of hyperbolic groups. I: The Hopf property
• A small simplification in hyperbolic groups
• Statistical properties of finitely presented groups
• Distinguished subgroups and quotients of hyperbolic groups
• Subgroups of small Cancellation Groups
• ALMOST EVERY GROUP IS HYPERBOLIC
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• The SQ-universality of hyperbolic groups
• ON THE COMBINATION THEOREM FOR NEGATIVELY CURVED GROUPS
• Hyperbolic groups and free constructions
• Hyperbolic groups and their quotients of bounded exponents