Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
projective special linear group |
| gptkbp:actsOn |
gptkb:projective_line_over_finite_field_F5
|
| gptkbp:automorphismGroup |
cyclic group of order 2
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:foundIn |
classification of finite simple groups
|
| gptkbp:generation |
2
|
| gptkbp:hasSubgroup |
gptkb:symmetric_group_S3
gptkb:cyclic_group_of_order_5 gptkb:dihedral_group_of_order_10 |
| https://www.w3.org/2000/01/rdf-schema#label |
PSL(2,5)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:alternating_group_A5
|
| gptkbp:isPerfect |
true
|
| gptkbp:isQuotientOf |
gptkb:SL(2,5)
center of SL(2,5) |
| gptkbp:isSimple |
true
|
| gptkbp:minimal_degree_of_faithful_permutation_representation |
5
|
| gptkbp:order |
60
|
| gptkbp:presentedBy |
⟨a,b | a^2 = b^3 = (ab)^5 = 1⟩
|
| gptkbp:Schur_multiplier |
cyclic group of order 2
|
| gptkbp:bfsParent |
gptkb:projective_special_linear_group
|
| gptkbp:bfsLayer |
6
|