Statements (29)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
projective special linear group |
gptkbp:automorphismGroup |
gptkb:C_2_×_C_2
|
gptkbp:centralTo |
trivial group
|
gptkbp:definedIn |
finite field of order 9
|
gptkbp:hasSubgroup |
gptkb:C_2
gptkb:C_3 gptkb:A_5 gptkb:S_5 D_10 |
https://www.w3.org/2000/01/rdf-schema#label |
PSL(2,9)
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
gptkb:A6
alternating group of degree 6 |
gptkbp:isPerfect |
true
|
gptkbp:isQuotientOf |
SL(2,9)
center of SL(2,9) |
gptkbp:isSimple |
true
|
gptkbp:minimalDegreeOfFaithfulLinearRepresentation |
5
|
gptkbp:minimalDegreeOfFaithfulPermutationRepresentation |
6
|
gptkbp:notation |
L_2(9)
PSL_2(9) |
gptkbp:order |
360
|
gptkbp:relatedTo |
gptkb:geometry
group theory |
gptkbp:SchurMultiplier |
gptkb:C_6
|
gptkbp:bfsParent |
gptkb:Paley_graph_of_order_9
gptkb:alternating_group_A6 |
gptkbp:bfsLayer |
7
|