Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
presentation of braid groups
|
| gptkbp:field |
group theory
|
| gptkbp:hasGenerator |
sigma_i
|
| gptkbp:introducedIn |
1925
|
| gptkbp:namedAfter |
gptkb:Emil_Artin
|
| gptkbp:relatedTo |
gptkb:group_presentation
braid group 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
gptkb:braid_theory gptkb:mapping_class_group_of_punctured_disk |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Artin presentation
|