Amalgam-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 subgroup H of a group G is termed an amalgam-normal-subhomomorph-containing subgroup if the amalgamated subgroup H is a normal-subhomomorph-containing subgroup in the amalgamated free product G *_H G.

Formalisms

In terms of the in-amalgam operator

This property is obtained by applying the in-amalgam operator to the property: normal-subhomomorph-containing subgroup
View other properties obtained by applying the in-amalgam operator

Relation with other properties

Stronger properties

Weaker properties