Alternative names (3)
fundamental group • has fundamental group • hasFundamentalGroupRandom triples
| Subject | Object |
|---|---|
| gptkb:lens_space | cyclic group of order p |
| gptkb:quaternionic_projective_plane | trivial |
| gptkb:Spin(11) | trivial |
| gptkb:G2_(complex_Lie_group) | trivial group |
| gptkb:Klein_quartic | gptkb:modular_group |
| gptkb:Lie_type_D_n | Z_2 × Z_2 (for n even) |
| gptkb:SU(N) | trivial |
| gptkb:SO(n+1) | ℤ/2ℤ for n+1 ≥ 3 |
| gptkb:SO(n,_R) | Z for n = 2 |
| gptkb:Sp(1) | trivial |
| gptkb:Projective_Special_Linear_Group_of_2x2_Real_Matrices | infinite cyclic group |
| gptkb:Poincaré_homology_sphere | gptkb:binary_icosahedral_group |
| gptkb:Klein_bottle | nontrivial |
| gptkb:Complex_projective_space | Trivial for n > 1 |
| gptkb:Special_orthogonal_group_in_n+1_dimensions | trivial for n+1 = 2 |
| gptkb:projective_line_over_C | trivial |
| gptkb:Seifert–Weber_space | finite presentation |
| gptkb:3-sphere_(S^3) | trivial |
| gptkb:SL(2,R) | infinite cyclic group |
| gptkb:projective_plane_P^2 | Z/2Z (real projective plane) |