Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:musical_group
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Sporadic_group
|
| gptkbp:advocates_for |
n = 1, 2, 3, 4
|
| gptkbp:class |
(n-1)!/2
|
| gptkbp:consists_of |
even permutations
|
| gptkbp:features_character |
irreducible representations
|
| gptkbp:genetic_diversity |
PSL(2, q) for certain q
|
| gptkbp:has_member |
gptkb:musical_group
GL(n, C) for n ≥ 3 the automorphism group of itself |
| https://www.w3.org/2000/01/rdf-schema#label |
Alternating group
|
| gptkbp:is_a |
gptkb:musical_group
|
| gptkbp:is_a_center_for |
trivial
|
| gptkbp:is_a_figure_in |
the study of representation theory
the study of algebraic topology the theory of permutation groups |
| gptkbp:is_available_for |
n ≥ 5
|
| gptkbp:is_considered_as |
n ≥ 5
|
| gptkbp:is_involved_in |
Galois theory
|
| gptkbp:is_related_to |
gptkb:television_channel
gptkb:musical_group graph theory combinatorial group theory the theory of Lie groups the theory of equations |
| gptkbp:is_represented_in |
linear algebra
permutation matrices |
| gptkbp:is_studied_in |
finite group theory
permutation representations |
| gptkbp:is_used_in |
gptkb:musical_group
gptkb:currency the study of symmetry the study of combinatorial designs the study of combinatorial structures |
| gptkbp:key |
gptkb:musical_group
abstract algebra the study of algebraic structures the study of group actions the study of algebraic topology combinatorial designs the classification of finite simple groups the study of algebraic groups |
| gptkbp:members |
finite n
n ≥ 5 |
| gptkbp:order |
n!/2
|
| gptkbp:produced_by |
3-cycles
|
| gptkbp:related_model |
symmetry in mathematics
symmetry in physics |
| gptkbp:symbol |
gptkb:A_n
|