Regular left-orders on groups

DOI10.4171/JCA/64MaRDI QIDQ2102171

Yago Antolín, Hang Lu Su, Cristóbal Rivas

Publication date: 28 November 2022

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

Full work available at URL: https://arxiv.org/abs/2104.04475

zbMATH Keywords

free productspositive coneregular languageBaumslag-Solitar groupsleft-orderable groupTararin group

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Cites Work

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• Explicit left orders on free groups extending the lexicographic order on free monoids.
• Quotients and subgroups of Baumslag-Solitar groups.
• Subgroups of graph groups
• Groups, the theory of ends, and context-free languages
• Amenable groups that act on the line.
• A geometric invariant of discrete groups
• Artin groups, rewriting systems and three-manifolds
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Order automatic mapping class groups
• Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups
• Embeddings into Thompson's group V and coCF groups
• The space of left orders of a group is either finite or uncountable
• On spaces of Conradian group orderings
• No positive cone in a free product is regular
• LEFT-ORDERABLE COMPUTABLE GROUPS
• Formal language convexity in left-orderable groups
• Orders on Trees and Free Products of Left-ordered Groups
• Left Relatively Convex Subgroups
• The co-word problem for the Higman-Thompson group is context-free
• GROUPS WITH CONTEXT-FREE CO-WORD PROBLEM
• COMPUTABILITY, ORDERS, AND SOLVABLE GROUPS

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