Automorphism groups of trees acting locally with affine permutations

Nadia Benakli; Yair Glasner

doi:10.1023/A:1014290316936

Automorphism groups of trees acting locally with affine permutations

Nadia Benakli, Yair Glasner

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider the structure of groups that act on a pⁿ-regular tree in a vertex transitive way with the local action (i.e. the action of the vertex stabilizer on the link) isomorphic to the group of affine transformations on a finite affine line.

Original language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Geometriae Dedicata
Volume	89
Issue number	1
DOIs	https://doi.org/10.1023/A:1014290316936
State	Published - 1 Dec 2002
Externally published	Yes

Keywords

Lattices
Tree automorphisms

ASJC Scopus subject areas

Geometry and Topology

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title = "Automorphism groups of trees acting locally with affine permutations",

abstract = "We consider the structure of groups that act on a pn-regular tree in a vertex transitive way with the local action (i.e. the action of the vertex stabilizer on the link) isomorphic to the group of affine transformations on a finite affine line.",

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author = "Nadia Benakli and Yair Glasner",

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AU - Glasner, Yair

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AB - We consider the structure of groups that act on a pn-regular tree in a vertex transitive way with the local action (i.e. the action of the vertex stabilizer on the link) isomorphic to the group of affine transformations on a finite affine line.

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KW - Tree automorphisms

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Automorphism groups of trees acting locally with affine permutations

Abstract

Keywords

ASJC Scopus subject areas

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