Trees and reflection groups. (Q1773207)
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scientific article; zbMATH DE number 2161316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trees and reflection groups. |
scientific article; zbMATH DE number 2161316 |
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Trees and reflection groups. (English)
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25 April 2005
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Summary: We define a reflection in a tree as an involutive automorphism whose set of fixed points is a geodesic and prove that, for the case of a homogeneous tree of degree \(4k\), the topological closure of the group generated by reflections has index 2 in the group of automorphisms of the tree.
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reflections in trees
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involutive automorphisms
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homogeneous trees
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groups of automorphisms
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groups generated by reflections
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