Quotient-isomorph-free subgroup

From Groupprops
Jump to: navigation, search
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]


A subgroup H of a group G is termed quotient-isomorph-free if H is normal in G, and there is no other normal subgroup K of G such that G/H is isomorphic to G/K.

Relation with other properties

Stronger properties

Weaker properties

Related properties