isSimple
635
triples
GPTKB property
Alternative names (10)
is simple
•
is simple for
•
isNotSimple
•
isSimpleField
•
isSimpleFor
•
isSimpleGroup
•
isSimpleLieGroup
•
simple
•
simpleFor
•
simpleGroup
Random triples
| Subject |
Object |
|
gptkb:Lie_algebra_of_type_F4
|
yes
|
|
gptkb:Poincaré_group
|
false
|
|
gptkb:projective_special_linear_group_PSL(n,_C)
|
n > 2
|
|
gptkb:PSL(2,5)
|
true
|
|
gptkb:SL_2(ℤ)
|
true
|
|
gptkb:projective_special_orthogonal_group_PSO(n)
|
n > 2
|
|
gptkb:SO(10,R)
|
true
|
|
gptkb:PΩ(n,q)
|
n ≥ 8, q even
|
|
gptkb:SL_2(5)
|
no
|
|
gptkb:PGL(2,C)
|
true
|
|
gptkb:SE(3)_group
|
false
|
|
gptkb:Symplectic_group
|
yes (for n > 1)
|
|
gptkb:projective_special_orthogonal_group
|
n > 2
|
|
gptkb:SU(n,q)
|
n > 1, (n,q) \\neq (2,2), (2,3)
|
|
gptkb:GL_3(2)
|
true
|
|
gptkb:symplectic_group_Sp(2n,q)
|
true (for n>1, q>2)
|
|
gptkb:PGL_4(2)
|
false
|
|
gptkb:PSL(n,_F)
|
true (for n > 2 and most fields F)
|
|
gptkb:GL(2,5)
|
false
|
|
gptkb:SU(2n)
|
true
|