Artin presentation

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:describes presentation of braid groups
gptkbp:field group theory
gptkbp:hasGenerator sigma_i
https://www.w3.org/2000/01/rdf-schema#label Artin presentation
gptkbp:introducedIn 1925
gptkbp:namedAfter gptkb:Emil_Artin
gptkbp:relatedTo braid group
group presentation
sigma_i sigma_j = sigma_j sigma_i for |i-j|>1
sigma_i sigma_{i+1} sigma_i = sigma_{i+1} sigma_i sigma_{i+1}
gptkbp:usedIn gptkb:topology
knot theory
gptkbp:bfsParent gptkb:Artin_group
gptkbp:bfsLayer 6