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_n
|
true (if n=2 or n>=5)
|
|
gptkb:Projective_Special_Unitary_Group
|
n ≥ 2, except n=2 in some cases
|
|
gptkb:orthogonal_group_O(10)
|
false
|
|
gptkb:rotation_group_SO(3)
|
true
|
|
gptkb:SU(6)/Z_6
|
true
|
|
gptkb:SL(2,ℂ)
|
true
|
|
gptkb:special_orthogonal_group_SO(n,q)
|
n >= 3, q > 3, (n,q) ≠ (4,2), (4,3)
|
|
gptkb:E_8_automorphism_group
|
true
|
|
gptkb:E6(q)
|
true (for q>2)
|
|
gptkb:Z/7Z
|
true
|
|
gptkb:SO(n+1,_C)
|
true
|
|
gptkb:PGL(4,2)
|
true
|
|
gptkb:E_6(-14)
|
true
|
|
gptkb:special_linear_group_SL(9)
|
yes (for n>1, over algebraically closed fields except for small n)
|
|
gptkb:PGL(2,9)
|
false
|
|
gptkb:alternating_group_A8
|
true
|
|
gptkb:C_5
|
true
|
|
gptkb:Galois_field_of_order_7
|
true
|
|
gptkb:GL(n,C^n)
|
false
|
|
gptkb:dihedral_group_D_6
|
true
|