No positive cone in a free product is regular

DOI10.1142/S0218196717500527zbMath1378.20042arXiv1609.06288OpenAlexW2964344435MaRDI QIDQ4601327

Zoran Šunić, Susan M. Hermiller

Publication date: 15 January 2018

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

Full work available at URL: https://arxiv.org/abs/1609.06288

zbMATH Keywords

free productsgraph productsregular languagesleft ordered groups

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Generators, relations, and presentations of groups (20F05) Algebraic theory of languages and automata (68Q70) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Ordered groups (06F15)

Related Items (4)

On one-counter positive cones of free groups ⋮ Formal language convexity in left-orderable groups ⋮ Paley's inequality for discrete groups ⋮ Regular left-orders on groups

Cites Work

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• Conjugacy growth series and languages in groups
• On braid groups

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