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:PGL(3,K)
|
true for most fields K except small cases
|
|
gptkb:unitary_group_U(n)
|
n=1 is abelian
|
|
gptkb:Projective_Special_Linear_Group
|
n ≥ 2, (n, q) ≠ (2, 2), (2, 3)
|
|
gptkb:symmetric_group_S4
|
false
|
|
gptkb:PGL_2(ℂ)
|
true
|
|
gptkb:GL_3(2)
|
true
|
|
gptkb:G_2(q)
|
false (for q = 2)
|
|
gptkb:projective_special_linear_group_PSL(2,9)
|
true
|
|
gptkb:PSL_n(q)
|
true (except for (n,q) = (2,2) or (2,3))
|
|
gptkb:SO(N,_ℝ)
|
true for N ≥ 3 except N=4
|
|
gptkb:SO(10)
|
true
|
|
gptkb:GL(n,C)
|
false
|
|
gptkb:A_n_(symmetric_group)
|
n >= 5
|
|
gptkb:Special_Linear_Group_SL(4,2)
|
true
|
|
gptkb:SL_3(2)
|
true
|
|
gptkb:Spin(12,C)
|
true
|
|
gptkb:SL_4(3)
|
no
|
|
gptkb:SL(2,_C)
|
true
|
|
gptkb:Chevalley_group_G2
|
finite fields
|
|
gptkb:PGL_2(R)
|
false
|