Bounded group actions on trees and hyperbolic and Lyndon length functions

DOI10.1307/mmj/1029003951zbMath0692.20017OpenAlexW2039523387MaRDI QIDQ583364

David L. Wilkens

Publication date: 1989

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003951

zbMATH Keywords

group of isometriesmetric treemaximal normal subgrouphyperbolic length functionLyndon length functionsnormal subgroups with bounded action

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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Invariants and examples of group actions on trees and length functions ⋮ Notes on quadratic sequences ⋮ Length functions arising from a group action on an IR-tree ⋮ Inherited group actions on ℝ‐trees