Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
projective line over Z_n
|
| gptkbp:definedIn |
Z_n
|
| gptkbp:fullName |
Projective Special Linear Group of 2x2 matrices over Z_n
|
| gptkbp:hasSubgroup |
PGL(2, Z_n)
|
| gptkbp:isFinite |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isQuotientOf |
SL(2, Z_n)
center of SL(2, Z_n) |
| gptkbp:isSimple |
n > 3, n ≠ 4, 6
n is a prime > 3 |
| gptkbp:notation |
PSL_2(Z_n)
|
| gptkbp:order |
n(n^2-1)/gcd(2, n-1)
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
number theory finite group theory |
| gptkbp:bfsParent |
gptkb:PSL(2,_Z/NZ)
|
| gptkbp:bfsLayer |
9
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSL(2, Z n)
|