Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:definedIn |
finite presentation
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Higman group
|
| gptkbp:introducedIn |
1951
|
| gptkbp:namedAfter |
gptkb:Graham_Higman
|
| gptkbp:notableFor |
first example of an infinite finitely presented simple group
|
| gptkbp:presentedBy |
⟨ a, b, c, d | a^{-1} b a = b^2, b^{-1} c b = c^2, c^{-1} d c = d^2, d^{-1} a d = a^2 ⟩
|
| gptkbp:property |
infinite
finitely presented not residually finite infinite simple group no non-trivial finite quotients torsion-free |
| gptkbp:bfsParent |
gptkb:Graham_Higman
|
| gptkbp:bfsLayer |
6
|