An algebraic formulation of Thurston’s combinatorial equivalence

DOI10.1090/S0002-9939-03-07035-7zbMath1113.37029OpenAlexW1569990699MaRDI QIDQ4417255

Kevin M. Pilgrim

Publication date: 28 July 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07035-7

zbMATH Keywords

postcritically finiteendomorphism of free group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (5)

Mapping schemes realizable by obstructed topological polynomials ⋮ Thurston equivalence of topological polynomials ⋮ Invariant spanning trees for quadratic rational maps ⋮ Introduction to iterated monodromy groups ⋮ Recognizing topological polynomials by lifting trees

Cites Work

• Intersections of finitely generated subgroups of free groups and resolutions of graphs
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Mapping tori of free group automorphisms are coherent
• A proof of Thurston's topological characterization of rational functions
• Hyperbolic automorphisms of free groups
• Dessins d'enfants and Hubbard trees
• ASCENDING HNN EXTENSIONS OF FINITELY GENERATED FREE GROUPS ARE HOPFIAN
• Matings of quadratic polynomials
• Mapping tori of endomorphisms of free groups
• A Family of Cubic Rational Maps and Matings of Cubic Polynomials
• The Group Fixed by a Family of Injective Endomorphisms of a Free Group
• Canonical Thurston obstructions
• The Thurston equivalence for postcritically finite branched coverings

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