Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
infinite group finitely presented group |
| gptkbp:actsOn |
gptkb:unit_circle
|
| gptkbp:definedIn |
group of orientation-preserving piecewise linear homeomorphisms of the circle
|
| gptkbp:discoveredIn |
1965
|
| gptkbp:fieldOfStudy |
geometric group theory
group theory |
| gptkbp:hasProperty |
simple
finitely generated finitely presented torsion-free not amenable |
| gptkbp:hasSubgroup |
gptkb:Thompson_group_F
gptkb:Thompson_group_V |
| https://www.w3.org/2000/01/rdf-schema#label |
Thompson group T
|
| gptkbp:namedAfter |
gptkb:Richard_J._Thompson
|
| gptkbp:order |
infinite
|
| gptkbp:presentedBy |
<x_0, x_1, c | c^3 = 1, c x_0 c^{-1} = x_1, c x_1 c^{-1} = x_0^{-1} x_1 x_0, [x_0 x_1^{-1}, x_0^{-1} x_1 x_0] = 1>
|
| gptkbp:relatedTo |
gptkb:Thompson_group_F
gptkb:Thompson_group_V |
| gptkbp:bfsParent |
gptkb:Thompson_group
|
| gptkbp:bfsLayer |
5
|