On the Bass-Lubotzky question about quotients of hyperbolic groups

DOI10.1006/jabr.1999.8170zbMath0957.20026OpenAlexW2012644333MaRDI QIDQ1977544

Alexander Yu. Ol'shanskii

Publication date: 10 January 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8170

zbMATH Keywords

hyperbolic groupsfinitely presented groupsfinite homomorphic imagesGromov hyperbolicitysmall cancellation conditions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06)

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Cites Work

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• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture
• The equivalence of some residual properties of word-hyperbolic groups
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• A.D. Alexandrov spaces with curvature bounded below
• The SQ-universality of hyperbolic groups
• Hyperbolic groups and their quotients of bounded exponents
• A non-cyclic one-relator group all of whose finite quotients are cyclic