Amalgam-normal-subhomomorph-containing 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 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.


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