Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
simple group |
| gptkbp:centralTo |
trivial for n+1 > 2
|
| gptkbp:consistsOf |
even permutations of n+1 elements
|
| gptkbp:generation |
3-cycles
|
| gptkbp:hasSubgroup |
gptkb:symmetric_group_S_{n+1}
|
| https://www.w3.org/2000/01/rdf-schema#label |
alternating group A {n+1}
|
| gptkbp:is_non-abelian_simple_group_for |
n+1 > 4
|
| gptkbp:is_normal_subgroup_of |
gptkb:symmetric_group_S_{n+1}
|
| gptkbp:isNonAbelian |
false for n+1 > 3
|
| gptkbp:isomorphicTo |
V_4 for n+1=4
cyclic group of order 3 for n+1=3 |
| gptkbp:isSimple |
n+1 > 4
|
| gptkbp:notation |
A_{n+1}
|
| gptkbp:order |
(n+1)!/2
|
| gptkbp:used_in |
gptkb:Galois_theory
group theory permutation group theory |
| gptkbp:bfsParent |
gptkb:symmetric_group_S_{n+1}
|
| gptkbp:bfsLayer |
8
|