isSimple
627
triples
GPTKB property
Alternative names (10)
is simple
•
is simple for
•
isNotSimple
•
isSimpleField
•
isSimpleFor
•
isSimpleGroup
•
isSimpleLieGroup
•
simple
•
simpleFor
•
simpleGroup
Random triples
| Subject |
Object |
|
gptkb:S_5
|
true
|
|
gptkb:Special_Linear_Group_of_2x2_Complex_Matrices
|
yes
|
|
gptkb:Thompson's_group_F
|
false
|
|
gptkb:Special_orthogonal_group_of_signature_(1,n)
|
true (for n > 2)
|
|
gptkb:special_linear_group_SL(n,R)
|
n >= 2
|
|
gptkb:projective_linear_group_PGL(3,2)
|
true
|
|
gptkb:GL(n,_C^n)
|
false
|
|
gptkb:SO(32)
|
true
|
|
gptkb:SO_{n+1}(C)
|
n+1 >= 3
|
|
gptkb:symmetric_group_S4
|
false
|
|
gptkb:Projective_Special_Unitary_Group
|
true for n ≥ 3
|
|
gptkb:general_linear_group_GL(n,R)
|
false
|
|
gptkb:E_6(6)
|
true
|
|
gptkb:Aut(A_5)
|
false
|
|
gptkb:projective_special_linear_group_PSL(n,q)
|
true, except for (n,q) = (2,2) and (2,3)
|
|
gptkb:PSL(2)
|
true
|
|
gptkb:SL_4(3)
|
no
|
|
gptkb:E_8_(Lie_algebra)
|
true
|
|
gptkb:groupe_de_Spin
|
n ≥ 3
|
|
gptkb:alternating_group_A_6
|
true
|