Asymmetry of outer space of a free product

DOI10.1080/00927872.2017.1412458zbMath1473.20033arXiv1507.01849OpenAlexW2963394310MaRDI QIDQ4641493

Dionysios Syrigos

Publication date: 28 May 2018

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

Full work available at URL: https://arxiv.org/abs/1507.01849

zbMATH Keywords

Lipschitz metricouter spacefree product of groupstrain track representativesasymmetry of outer space

Mathematics Subject Classification ID

Geometric group theory (20F65) 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)

Cites Work

• Stretching factors, metrics and train tracks for free products
• Metric properties of outer space.
• Asymmetry of outer space.
• Train tracks and automorphisms of free groups
• Efficient representatives for automorphisms of free products
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• The boundary of the outer space of a free product
• Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings
• A Bers-like proof of the existence of train tracks for free group automorphisms
• The expansion factors of an outer automorphism and its inverse
• Group Actions On R-Trees
• Stable representatives for symmetric automorphisms of groups and the general form of the Scott conjecture
• The outer space of a free product

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