Dense Orderings in the Space of Left-orderings of a Group

DOI10.4153/S0008439519000493zbMath1481.06038arXiv1904.09045OpenAlexW2939413407WikidataQ127320507 ScholiaQ127320507MaRDI QIDQ5108002

Tessa Reimer, Adam Clay

Publication date: 29 April 2020

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09045

zbMATH Keywords

ordered groupbi-orderable groupspace of left-orderings

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Cites Work

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• Dehornoy-like left orderings and isolated left orderings.
• Left-orderings on free products of groups
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• Isolated points in the space of left orderings of a group
• The space of left orders of a group is either finite or uncountable
• Nielsen-Thurston orders and the space of braid orderings
• Ordered groups and topology
• Solvable Groups with π-Isolators
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• LEFT ORDERINGS AND QUOTIENTS OF THE BRAID GROUPS
• Right-Ordered Locally Nilpotent Groups
• On braid groups

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