A criterion for Kolchin subgroups of Out(Fr)

DOI10.1142/S0218196719500723zbMath1490.20025arXiv1810.07633OpenAlexW2972670503WikidataQ114614813 ScholiaQ114614813MaRDI QIDQ5221277

Edgar A. IV. Bering

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1810.07633

zbMATH Keywords

treesouter automorphismgeometric group theoryKolchin subgroup

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Cites Work

• Twisting out fully irreducible automorphisms.
• The conjugacy problem for Dehn twist automorphisms of free groups
• Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• Fully irreducible automorphisms of the free group via Dehn twisting in \(\sharp_k(S^2\times S^1)\)
• Bounding the complexity of simplicial group actions on trees
• The Fundamental Groupoid of a Graph of Groups
• Uniform independence for Dehn twist automorphisms of a free group

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