Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:mathematical_concept |
| gptkbp:alsoKnownAs |
partially commutative group
|
| gptkbp:automorphismGroup |
Out(A_Γ)
|
| gptkbp:definedIn |
finite simplicial graph
|
| gptkbp:example |
free abelian group (if the graph is complete)
free group (if the graph has no edges) |
| gptkbp:hasProperty |
linear
residually finite torsion-free biautomatic |
| gptkbp:hasSpecialCase |
gptkb:Artin_group
|
| gptkbp:hasSubgroup |
free group
free abelian group |
| https://www.w3.org/2000/01/rdf-schema#label |
right-angled Artin group
|
| gptkbp:introduced |
gptkb:Pierre_Deligne
|
| gptkbp:introducedIn |
1972
|
| gptkbp:notation |
A_Γ
|
| gptkbp:presentedBy |
generators correspond to vertices of the graph
commutation relations correspond to edges of the graph |
| gptkbp:relatedTo |
graph products of groups
right-angled Coxeter group |
| gptkbp:studiedIn |
geometric group theory
combinatorial group theory |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology low-dimensional topology |
| gptkbp:bfsParent |
gptkb:Artin_group
|
| gptkbp:bfsLayer |
6
|