Automorphisms of automorphism groups of free groups

DOI10.1006/jabr.2000.8327zbMath0959.20027OpenAlexW2075884549WikidataQ115031967 ScholiaQ115031967MaRDI QIDQ1579166

Karen Vogtmann, Martin R. Bridson

Publication date: 31 January 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:4bdbc59b-3bbf-4b26-a15b-c406cce1a71a

zbMATH Keywords

inner automorphismsouter automorphism groupsfree groupsgraph automorphismsmaximal finite subgroups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (16)

A note on semicompleteness of graph products of abelian groups ⋮ Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple ⋮ The symmetries of the outer space of a universal Coxeter group ⋮ Commensurations of the Johnson kernel ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Abelian covers of graphs and maps between outer automorphism groups of free groups. ⋮ Commensurations of \(\text{Out}(F_n)\). ⋮ Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups. (With an appendix written jointly with Francois Dahmani) ⋮ A question of B. Plotkin about the semigroup of endomorphisms of a free group ⋮ Automorphisms of symmetric groups are toy examples for mapping class groups ⋮ On the outer automorphism groups of free groups. ⋮ Commensurations of subgroups of 𝑂𝑢𝑡(𝐹_{𝑁}) ⋮ Infinitely generated free nilpotent groups: completeness of the automorphism groups ⋮ THE GROUPS OF AUTOMORPHISMS ARE COMPLETE FOR FREE BURNSIDE GROUPS OF ODD EXPONENTS n ≥ 1003 ⋮ The symmetries of outer space. ⋮ Acylindrical hyperbolicity and existential closedness

Cites Work

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• Moduli of graphs and automorphisms of free groups
• Actions of finite groups of graphs and related automorphisms of free groups
• Über Homoeomorphismen \(n\)-dimensionaler Henkelkoerper und endliche Erweiterungen von Schottky-Gruppen
• Buildings of spherical type and finite BN-pairs
• The maximum order of finite groups of outer automorphisms of free groups
• The symmetries of outer space.
• The Automorphism Group of a Free Group is Complete

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