Determining whether a finite group of outer automorphisms of a free group is geometric.

DOI10.1016/j.jpaa.2004.06.006zbMath1082.20023OpenAlexW2115244960MaRDI QIDQ1765699

Xianqiang Yang

Publication date: 23 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.06.006

zbMATH Keywords

fundamental groupsfree groupsfinite groups of outer automorphismsrealizations on punctured surfaces

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

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• Irreducible automorphisms of growth rate one
• Actions of finite groups of graphs and related automorphisms of free groups
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Über Homoeomorphismen \(n\)-dimensionaler Henkelkoerper und endliche Erweiterungen von Schottky-Gruppen
• Train-tracks for surface homeomorphisms
• Embedding groups of graph automorphisms in surfaces.
• Die Klassen von topologischen Abbildungen einer geschlossenen Fläche auf sich
• Topologically Unrealizable Automorphisms of Free Groups
• Finite and infinite cyclic extensions of free groups
• Periodic automorphisms of free groups
• The Nielsen realization problem

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