On the number of circular orders on a group

DOI10.1016/j.jalgebra.2018.01.049zbMath1405.20025arXiv1704.06242OpenAlexW2963102079MaRDI QIDQ1644839

Adam Clay, Cristóbal Rivas, Kathryn Mann

Publication date: 22 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06242

zbMATH Keywords

left ordered groupscircular ordered groupsgroup actions on one-manifoldsspace of orders

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Subgroup theorems; subgroup growth (20E07) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (5)

The number of locally invariant orderings of a group ⋮ Anti-classification results for groups acting freely on the line ⋮ Orderable groups and semigroup compactifications ⋮ The space of circular orderings and semiconjugacy ⋮ Free products of circularly ordered groups with amalgamated subgroup

Cites Work

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• On the dynamics of (left) orderable groups.
• Right-ordered groups
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• On Groups with Finitely Many Conradian Orderings
• The space of left orders of a group is either finite or uncountable
• Solvable Groups Acting on the Line
• Representations of cyclically ordered groups
• Right Cyclically Ordered Groups⁽¹⁾
• Soluble Right Orderable Groups are Locally Indicable
• Local indicability in ordered groups: Braids and elementary amenable groups
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• On cyclically ordered groups

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