Assertion: abelian group's image | /r/HasProperty | normal
Facets:
value: in
type: LOCATION
value: in g
type: LOCATION
value: in h
type: LOCATION
Source sentences:
text: Normality is preserved under surjective homomorphisms, i.e. if G → H is a surjective group homomorphism and N is normal in G , then the image f ( N ) is normal in H .
text: is a surjective group homomorphism and is normal in , then the image is normal in .
text: Normality is preserved by taking inverse images, i.e. if G → H is a group homomorphism and N is normal in H , then the inverse image f -1 ( N ) is normal in G .
text: is a group homomorphism and is normal in , then the inverse image is normal in .