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:SO(n+1,_ℝ)
|
n+1 ≥ 3
|
|
gptkb:Projective_Special_Linear_Group_of_2x2_Real_Matrices
|
true
|
|
gptkb:Spin(12,C)
|
true
|
|
gptkb:special_orthogonal_group_SO(n)
|
true for n >= 5
|
|
gptkb:SL(2,3)
|
false
|
|
gptkb:SL(n,_F)
|
true for n > 2 and F not of small order
|
|
gptkb:Projective_Special_Linear_Group
|
n ≥ 2, (n, q) ≠ (2, 2), (2, 3)
|
|
gptkb:SL(n,C)
|
n > 1
|
|
gptkb:E6_Weyl_group
|
true
|
|
gptkb:orthogonal_group_O(n,_R)
|
false
|
|
gptkb:Special_Unitary_Group_of_degree_6
|
degree ≥ 2
|
|
gptkb:Sp(2n,_F)
|
true (for n > 1 and char(F) ≠ 2)
|
|
gptkb:SL(n,C)
|
true
|
|
gptkb:Zassenhaus_group
|
true
|
|
gptkb:projective_general_linear_group_of_2x2_real_matrices
|
false
|
|
gptkb:SO(n,_C)
|
n >= 3
|
|
gptkb:SO(N)
|
N ≥ 5
|
|
gptkb:special_linear_group_of_degree_n_over_the_finite_field_with_q_elements
|
n > 2 or (n = 2 and q > 3)
|
|
gptkb:E_8
|
true
|
|
gptkb:special_linear_group_SL(2n,q)
|
true (for n>1, q>3 except (n,q)=(2,2),(2,3))
|