Invariants and examples of group actions on trees and length functions

DOI10.1017/S0013091500007197zbMath0748.20015MaRDI QIDQ3991573

David L. Wilkens

Publication date: 28 June 1992

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

zbMATH Keywords

treegroup actionnormal subgroupHNN extensionhyperbolic length functionbounded actionLyndon length function

Mathematics Subject Classification ID

Trees (05C05) Subgroup theorems; subgroup growth (20E07) 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) Groups acting on trees (20E08)

Related Items

Inherited group actions on ℝ‐trees ⋮ Minimal length functions on groups

Cites Work

• Bounded group actions on trees and hyperbolic and Lyndon length functions
• Valuations, trees, and degenerations of hyperbolic structures. I
• Group actions on trees and length functions
• Length Functions and Normal Subgroups
• Abstract length functions in groups