A fixed point theorem for deformation spaces of \(G\)-trees.

DOI10.4171/CMH/91zbMath1117.20022arXivmath/0502248OpenAlexW2032211044MaRDI QIDQ878318

N. E. Zubov

Publication date: 26 April 2007

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502248

zbMATH Keywords

outer automorphism groupsfree groupsgroups acting on treesHNN-extensionsfree products with amalgamationsdeformation spacesHirsch lengths\(\text{Out}(F_n)\) realizationscontractible topological spaceslocally finite simplicial treesNielsen realizationsvirtually polycyclic groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

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Deformation spaces of trees., On the automorphism group of generalized Baumslag-Solitar groups., Torsion in the outer automorphism groups of generalized Baumslag-Solitar groups, The Lipschitz metric on deformation spaces of \(G\)-trees