Splittings and automorphisms of relatively hyperbolic groups

DOI10.4171/GGD/322zbMath1368.20037arXiv1212.1434MaRDI QIDQ2356014

Vincent Guirardel, Gilbert Levitt

Publication date: 28 July 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1434

zbMATH Keywords

groups of automorphismssplittinghyperbolic groupgroups acting on treesrelatively hyperbolic group

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Hyperbolic groups and nonpositively curved groups (20F67) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Groups acting on trees (20E08)

Related Items (21)

Free-by-cyclic groups, automorphisms and actions on nearly canonical trees ⋮ Vertex finiteness for splittings of relatively hyperbolic groups ⋮ Forking and JSJ decompositions in the free group ⋮ Boundary amenability of $Out(F_N)$ ⋮ Relative hyperbolicity for automorphisms of free products and free groups ⋮ Homogeneity in virtually free groups ⋮ Cannon-Thurston maps for CAT(0) groups with isolated flats ⋮ The structure of limit groups over hyperbolic groups ⋮ 𝐴𝑢𝑡-invariant quasimorphisms on groups ⋮ Co‐Hopfian virtually free groups and elementary equivalence ⋮ Commensurations of the outer automorphism group of a universal Coxeter group ⋮ Centralisers of Dehn twist automorphisms of free groups ⋮ Residual properties of automorphism groups of (relatively) hyperbolic groups. ⋮ Vastness properties of automorphism groups of RAAGs ⋮ Recognizing a relatively hyperbolic group by its Dehn fillings ⋮ Trees of cylinders and canonical splittings. ⋮ Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings ⋮ Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}) ⋮ Virtually splitting the map from $\operatorname {Aut}(G)$ to $\operatorname {Out}(G)$ ⋮ Random subgroups, automorphisms, splittings ⋮ On automorphisms and splittings of special groups

Cites Work

• Unnamed Item
• The isomorphism problem for finitely generated fully residually free groups.
• Deformation spaces of \(G\)-trees and automorphisms of Baumslag-Solitar groups.
• Moduli of graphs and automorphisms of free groups
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Train tracks and automorphisms of free groups
• Cut points and canonical splittings of hyperbolic groups
• Stable actions of groups on real trees
• Bounding the complexity of simplicial group actions on trees
• RELATIVELY HYPERBOLIC GROUPS
• The automorphism group of accessible groups
• ENDOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS
• CONJUGACY OF FINITE SUBSETS IN HYPERBOLIC GROUPS

This page was built for publication: Splittings and automorphisms of relatively hyperbolic groups