Quotient and blow-up of automorphisms of graphs of groups

DOI10.1142/S0218196718500340zbMath1491.20093arXiv1512.00542MaRDI QIDQ4686442

Kaidi Ye

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1512.00542

zbMATH Keywords

free groupDehn twistsBass-Serre theorygraph-of-groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Groups acting on trees (20E08)

Cites Work

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• Hyperbolicity of the cyclic splitting graph.
• Covering theory for graphs of groups
• Twisting out fully irreducible automorphisms.
• Decompositions of free groups
• Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition
• Train tracks and automorphisms of free groups
• The conjugacy problem for Dehn twist automorphisms of free groups
• Structure and rigidity in hyperbolic groups. I
• Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
• Automorphism groups of tree actions and of graphs of groups
• Automorphisms of hyperbolic groups and graphs of groups.
• A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups
• Centralisers of Dehn twist automorphisms of free groups

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