The structure group for the associativity identity

DOI10.1016/0022-4049(95)00119-0zbMath0859.55009OpenAlexW2068714254MaRDI QIDQ1921357

Patrick Dehornoy

Publication date: 7 April 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00119-0

zbMATH Keywords

Cayley graphassociahedraassociativity operators

Mathematics Subject Classification ID

(H)-spaces and duals (55P45)

Related Items (14)

On the rotation distance between binary trees ⋮ Ruinous subsets of Richard Thompson's group \(F\). ⋮ CONSTRUCTION OF SELF-DISTRIBUTIVE OPERATIONS AND CHARGED BRAIDS ⋮ Using groups for investigating rewrite systems ⋮ ELEMENTARY AMENABLE SUBGROUPS OF R. THOMPSON'S GROUP F ⋮ Groups with a complemented presentation ⋮ Properties of Richard Thompson's group \(F\) related to Følner sets. ⋮ An abstract characterization of Thompson's group \(F\). ⋮ The geometry monoid of left self-distributivity ⋮ Coherence of associativity in categories with multiplication ⋮ A CORRESPONDENCE BETWEEN BALANCED VARIETIES AND INVERSE MONOIDS ⋮ GROUPS WITH INDEXED CO-WORD PROBLEM ⋮ Geometric presentations for Thompson's groups. ⋮ The fine structure of LD-equivalence

Cites Work

• Groups with a complemented presentation
• The left distributive law and the freeness of an algebra of elementary embeddings
• Free distributive groupoids
• The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation
• Structural Monoids Associated to Equational Varieties
• Braid Groups and Left Distributive Operations
• FROM LARGE CARDINALS TO BRAIDS VIA DISTRIBUTIVE ALGEBRA
• Homotopy Associativity of H-Spaces. I
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