automorphismGroup

URI: https://gptkb.org/prop/automorphismGroup

540 triples

GPTKB property

Alternative names (13)

automorphism group • automorphism group of • automorphismGroupOf • automorphismGroupOrder • has automorphism group • hasAutomorphism • hasAutomorphismGroup • hasAutomorphismGroupOrder • hasOuterAutomorphismGroup • isAutomorphismGroupOf • more

Random triples

Subject	Object
gptkb:Smooth_quadric_hypersurfaces	gptkb:Orthogonal_group
gptkb:K_4	gptkb:S_4
gptkb:modular_curves	gptkb:modular_group
gptkb:symmetric_group_S_{n-1}	trivial for n-1 ≠ 6
gptkb:SL(2,Z)	nontrivial
gptkb:Mathieu_group_M21	C2
gptkb:tetrahedral_group	S4
gptkb:complex_Lie_group_F4	inner automorphisms only
gptkb:PGL(n,_C)	complex projective space
gptkb:E_8_(mathematics)	gptkb:E_8_(mathematics)
gptkb:projective_space_(all_weights_1)	gptkb:projective_linear_group
gptkb:dihedral_group_of_order_8	gptkb:dihedral_group_of_order_8
gptkb:alternating_group_A_4	gptkb:symmetric_group_S_4
gptkb:General_Linear_Group_of_3x3_invertible_matrices_over_the_field_with_2_elements	2
gptkb:C2_×_C2	S3
gptkb:Projective_General_Linear_Group_of_3x3_matrices_over_GF(2)	2
gptkb:Icosahedron_Graph	gptkb:A5
gptkb:projective_general_linear_group_PGL_3(2)	gptkb:C_2
gptkb:G2_(Lie_group)	trivial
gptkb:Sym(6)	gptkb:Z/2Z