Test elements and the retract theorem in hyperbolic groups

zbMath0954.20020MaRDI QIDQ1577047

John C. O'Neill, Edward C. Turner

Publication date: 29 August 2000

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120756

zbMATH Keywords

endomorphismshyperbolic groupsautomorphismsFuchsian groupsco-Hopfian groupstest elementssurface groupsHopfian groupsretract theorem

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Other groups related to topology or analysis (20F38) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (7)

Test elements in pro-\(p\) groups with applications in discrete groups ⋮ On free decompositions of verbally closed subgroups in free products of finite groups ⋮ Explicit bounds for fixed subgroups of endomorphisms of free products ⋮ Test elements and the retract theorem for monounary algebras ⋮ First-order aspects of Coxeter groups ⋮ Test elements in solvable Baumslag-Solitar groups ⋮ Equations in acylindrically hyperbolic groups and verbal closedness

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