Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:centralTo |
{1, -1}
|
| gptkbp:containsElement |
1
i -1 k j -i -k -j |
| gptkbp:exponent |
4
|
| gptkbp:hasSubgroup |
gptkb:quaternion_group
{1, -1, i, -i} {1, -1, j, -j} {1, -1, k, -k} {1, -1} |
| https://www.w3.org/2000/01/rdf-schema#label |
quaternion group Q8
|
| gptkbp:isDicyclic |
true
|
| gptkbp:isHamiltonian |
true
|
| gptkbp:isNilpotent |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:binary_cyclic_group_of_order_8
gptkb:dicyclic_group_of_order_8 |
| gptkbp:isPerfect |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:isSmallestNonAbelianGroupWithAllSubgroupsNormal |
true
|
| gptkbp:order |
8
|
| gptkbp:presentedBy |
<i,j | i^4=1, i^2=j^2, ij=ji^{-1}>
|
| gptkbp:bfsParent |
gptkb:Hamiltonian_group
|
| gptkbp:bfsLayer |
5
|