ON ENDOMORPHISMS OF TORSION-FREE HYPERBOLIC GROUPS

DOI10.1142/S0218196711006601zbMath1268.20045arXiv0903.2306MaRDI QIDQ3110895

O. V. Bogopol'skij, Enric Ventura Capell

Publication date: 16 January 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.2306

zbMATH Keywords

endomorphismsgroups of automorphismstorsion-free hyperbolic groupsWhitehead algorithmpointwise inner automorphisms

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (9)

Hereditary conjugacy separability of free products with amalgamation. ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ Aritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group rings ⋮ Deciding isomorphy using Dehn fillings, the splitting case ⋮ A WHITEHEAD ALGORITHM FOR TORAL RELATIVELY HYPERBOLIC GROUPS ⋮ AN EXAMPLE OF A SUBGROUP SEPARABLE BUT NOT CONJUGACY SEPARABLE GROUP ⋮ A note on automatic continuity ⋮ Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups ⋮ From local to global conjugacy of subgroups of relatively hyperbolic groups

Cites Work

• On certain elements of free groups
• On certain \(C\)-test words for free groups
• On the residual finiteness of outer automorphisms of relatively hyperbolic groups.
• On the residual finiteness of outer automorphisms of hyperbolic groups.
• On equivalent sets of elements in a free group
• Normal automorphisms of relatively hyperbolic groups
• Pointwise inner automorphisms in a free nilpotent group
• On Residualizing Homomorphisms Preserving Quasiconvexity^#
• CONJUGACY OF FINITE SUBSETS IN HYPERBOLIC GROUPS
• Normal automorphisms of free groups
• Automorphisms fixing every subnormal subgroup of a finite group

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