Multifraction reduction. II: Conjectures for Artin-Tits groups

DOI10.4171/JCA/1-3-1zbMath1422.20021arXiv1606.08995OpenAlexW2963036819WikidataQ122860691 ScholiaQ122860691MaRDI QIDQ2405875

Patrick Dehornoy

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1606.08995

zbMATH Keywords

reductionword problemembeddabilitysemi-convergenceArtin-Tits groupArtin-Tits monoidenveloping groupmultifractionvan Kampen diagramgcd-monoidcross-confluencetame reduction

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Grammars and rewriting systems (68Q42) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Multifraction reduction. IV: Padding and Artin-Tits monoids of sufficiently large type ⋮ Some computational aspects in the work of Patrick Dehornoy ⋮ Garside groups and geometry: Some thoughts for Patrick Dehornoy ⋮ Artin groups of infinite type: Trivial centers and acylindrical hyperbolicity

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