On the space of left-orderings of virtually solvable groups

Cristóbal Rivas; Romain Tessera

doi:10.4171/GGD/343

On the space of left-orderings of virtually solvable groups

Cristóbal Rivas
, Romain Tessera

Departamento de Matemáticas Y Ciencia de la Computación
Universidad de Santiago de Chile
Université Paris-Saclay

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

15 Citations (Scopus)

Résumé

We show that the space of left-orderings of a countable virtually solvable group is either finite or homeomorphic to a Cantor set. We also provide an explicit description of the space of left-orderings of SOL = Z2 ⋊ T Z.

langue originale	Anglais
Pages (de - à)	65-90
Nombre de pages	26
journal	Groups, Geometry, and Dynamics
Volume	10
Numéro de publication	1
Les DOIs	https://doi.org/10.4171/GGD/343
état	Publié - 1 janv. 2016
Modification externe	Oui

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10.4171/GGD/343

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title = "On the space of left-orderings of virtually solvable groups",

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AB - We show that the space of left-orderings of a countable virtually solvable group is either finite or homeomorphic to a Cantor set. We also provide an explicit description of the space of left-orderings of SOL = Z2 ⋊ T Z.

KW - Left-orderable groups

KW - One dimensional dynamics

KW - Solvable groups

KW - Space of orderings

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DO - 10.4171/GGD/343

M3 - Article

AN - SCOPUS:84958164242

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JO - Groups, Geometry, and Dynamics

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On the space of left-orderings of virtually solvable groups

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