Formal language convexity in left-orderable groups

DOI10.1142/S0218196720500472OpenAlexW3026812417MaRDI QIDQ4970536

Hang Lu Su

Publication date: 14 October 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13001

zbMATH Keywords

semigroupsregular languageacylindrically hyperbolic groupsleft-orderable groupfinitely generated positive cones

Mathematics Subject Classification ID

Geometric group theory (20F65) Ordered groups (06F15)

Related Items (2)

On one-counter positive cones of free groups ⋮ Regular left-orders on groups

Uses Software

• GAP

Cites Work

• Quasi-convexity of hyperbolically embedded subgroups
• Explicit left orders on free groups extending the lexicographic order on free monoids.
• A remarkable family of left-ordered groups: central extensions of Hecke groups
• Combinatorial group theory.
• Acylindrically hyperbolic groups
• No positive cone in a free product is regular
• Group orderings, dynamics, and rigidity
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
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