Group actions on trees and length functions (Q1114009)
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scientific article; zbMATH DE number 4083921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Group actions on trees and length functions |
scientific article; zbMATH DE number 4083921 |
Statements
Group actions on trees and length functions (English)
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1988
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A group of isometries acting on a metric tree gives a length function in the sense of \textit{R. C. Lyndon} [Math. Scand. 12, 209-234 (1964; Zbl 0119.264)], associated with each point of the tree. The author considers certain properties of length functions, in particular the existence of extensions and relationships with group actions. The action of any hypercentral group is described.
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group of isometries
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metric tree
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length functions
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group actions
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hypercentral group
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0.9612076
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0.95690787
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0.95118546
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0.93768674
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