Coherent presentations of structure monoids and the Higman-Thompson groups

Simple item page
dc.creatorCohen, Jonathan A.
dc.date2008-02-24
dc.date.accessioned2026-07-07T09:22:57Z
dc.date.available2026-07-07T09:22:57Z
dc.descriptionStructure monoids and groups are algebraic invariants of equational varieties. We show how to construct presentations of these objects from coherent categorifications of equational varieties, generalising several results of Dehornoy. We subsequently realise the higher Thompson groups $F_{n,1}$ and the Higman-Thompson groups $G_{n,1}$ as structure groups. We go on to obtain presentations of these groups via coherent categorifications of the varieties of higher-order associativity and of higher-order associativity and commutativity, respectively. These categorifications generalise Mac Lane's pentagon and hexagon conditions for coherently associative and commutative bifunctors.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0802.3511
dc.identifierhttp://arxiv.org/abs/0802.3511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155563
dc.subjectCategory Theory
dc.subjectGroup Theory
dc.subject18D99; 03C05; 20F05; 20J99
dc.titleCoherent presentations of structure monoids and the Higman-Thompson groups
dc.typetext

Files

Collections

arXiv