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

Universidad de Santiago de Chile
Université Paris-Saclay

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

15 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	65-90
Number of pages	26
Journal	Groups, Geometry, and Dynamics
Volume	10
Issue number	1
DOIs	https://doi.org/10.4171/GGD/343
Publication status	Published - 1 Jan 2016
Externally published	Yes

Keywords

Left-orderable groups
One dimensional dynamics
Solvable groups
Space of orderings

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10.4171/GGD/343

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author = "Crist{\'o}bal Rivas and Romain Tessera",

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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

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JO - Groups, Geometry, and Dynamics

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On the space of left-orderings of virtually solvable groups

Abstract

Keywords

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Cite this