Left-transitively homomorph-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]


A subgroup H of a group G is left-transitively homomorph-containing if, for any group K containing G as a homomorph-containing subgroup, H is also a homomorph-containing subgroup of K.

Relation with other properties

Stronger properties

Weaker properties