Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:describes |
group of 2x2 matrices with determinant 1 over a finite field, modulo scalar matrices
|
| gptkbp:field |
group theory
|
| gptkbp:hasExceptionalIsomorphism |
PSL(2, 4) ≅ PSL(2, 5) ≅ A5
PSL(2, 9) ≅ A6 |
| gptkbp:hasSubgroup |
gptkb:PGL2
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSL2
|
| gptkbp:importantFor |
classification of finite simple groups
|
| gptkbp:isFinite |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
gptkb:SL2
|
| gptkbp:isSimple |
true
q > 3 |
| gptkbp:notation |
gptkb:PSL(2,_q)
|
| gptkbp:order |
q(q^2-1)/gcd(2, q-1)
|
| gptkbp:relatedTo |
gptkb:SL2
gptkb:PGL2 |
| gptkbp:standsFor |
gptkb:Projective_Special_Linear_Group_of_degree_2
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
number theory finite group theory |
| gptkbp:bfsParent |
gptkb:SL2
|
| gptkbp:bfsLayer |
6
|