Effective embedding of residually hyperbolic groups into direct products of extensions of centralizers

DOI10.1515/JGT-2013-0007zbMath1306.20044arXiv1202.3835OpenAlexW2962704050MaRDI QIDQ2873305

Jeremy Macdonald, O. G. Kharlampovich

Publication date: 23 January 2014

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3835

zbMATH Keywords

word problemfinitely presented groupssystems of equationsequations over groupsextensions of centralizersfully residually hyperbolic groupsuniversal theories of torsion-free hyperbolic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26) Algebraic geometry over groups; equations over groups (20F70)

Related Items (1)

Effective construction of covers of canonical Hom-diagrams for equations over torsion-free hyperbolic groups

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