Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:musical_group
|
| gptkbp:application |
coding theory
|
| gptkbp:automorphism_group |
Z_2 × Z_2
|
| gptkbp:element |
{e, a, b, c}
|
| gptkbp:group_operation |
element-wise addition mod 2
|
| gptkbp:has_normal_subgroups |
gptkb:true
|
| gptkbp:has_produced |
{a, b}
|
| gptkbp:has_subgroup |
{e}, {e, a}, {e, b}, {e, c}, {e, a, b, c}
|
| https://www.w3.org/2000/01/rdf-schema#label |
Klein four-group
|
| gptkbp:identity_element |
e
|
| gptkbp:is_a_representation_of |
as a vector space over GF(2)
|
| gptkbp:is_abelian |
gptkb:true
|
| gptkbp:isomorphic_to |
Z_2 × Z_2
|
| gptkbp:non-cyclic |
gptkb:true
|
| gptkbp:order |
gptkb:4
|
| gptkbp:presented_by |
⟨a, b | a^2 = b^2 = 1, ab = ba⟩
|
| gptkbp:symmetry_group |
V_4
|
| gptkbp:bfsParent |
gptkb:Felix_Klein
|
| gptkbp:bfsLayer |
4
|