Normal-subhomomorph-containing subgroup
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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]
Definition
A normal subgroup of a group
is termed a normal-subhomomorph-containing subgroup if, for any subgroup
of
and any homomorphism of groups
such that
is a normal subgroup of
,
is contained in
.