Amalgam-strictly characteristic 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 amalgam-strictly characteristic if the amalgamated subgroup H is a strictly characteristic 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: strictly characteristic subgroup
View other properties obtained by applying the in-amalgam operator

Relation with other properties

Stronger properties

Weaker properties