Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
Category theory
|
| gptkbp:contrastsWith |
Group homomorphism
Group automorphism |
| gptkbp:defines |
A bijective group homomorphism
|
| gptkbp:designer |
Isomorphism inverse is also an isomorphism
|
| gptkbp:example |
(R, +) ≅ (R, +)
(Z, +) ≅ (2Z, +) |
| gptkbp:field |
gptkb:Abstract_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Group isomorphism
|
| gptkbp:implies |
Groups are structurally identical
|
| gptkbp:notation |
G ≅ H
|
| gptkbp:preserves |
Identity element
Inverse element Group operation |
| gptkbp:property |
Equivalence relation on groups
Preserves group structure |
| gptkbp:relatedTo |
gptkb:Isomorphism
gptkb:Group_theory gptkb:Group_(mathematics) |
| gptkbp:usedIn |
Classification of groups
|
| gptkbp:bfsParent |
gptkb:Isomorphism
|
| gptkbp:bfsLayer |
6
|