Second Isomorphism Theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Diamond Isomorphism Theorem
gptkbp:appliesTo groups
modules
rings
gptkbp:describes relationship between subgroups and quotient groups
gptkbp:field abstract algebra
gptkbp:generalizes gptkb:lattice_isomorphism_theorem
https://www.w3.org/2000/01/rdf-schema#label Second Isomorphism Theorem
gptkbp:namedFor gptkb:Emmy_Noether
gptkbp:relatedTo gptkb:First_Isomorphism_Theorem
gptkb:Third_Isomorphism_Theorem
gptkbp:state If A and B are subgroups of G, then AB/B is isomorphic to A/(A∩B)
gptkbp:usedIn group theory
module theory
ring theory
gptkbp:bfsParent gptkb:lattice_isomorphism_theorem
gptkbp:bfsLayer 8