Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Lattice Theorem
|
| gptkbp:appliesTo |
groups
|
| gptkbp:describes |
correspondence between subgroups containing a normal subgroup and subgroups of the quotient group
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fourth Isomorphism Theorem
|
| gptkbp:namedAfter |
isomorphism theorems
|
| gptkbp:relatedTo |
gptkb:First_Isomorphism_Theorem
gptkb:Second_Isomorphism_Theorem gptkb:Third_Isomorphism_Theorem |
| gptkbp:state |
There is a bijection between the set of subgroups of G containing N and the set of subgroups of G/N, where N is a normal subgroup of G
|
| gptkbp:usedIn |
abstract algebra
module theory ring theory |
| gptkbp:bfsParent |
gptkb:lattice_isomorphism_theorem
|
| gptkbp:bfsLayer |
8
|