Amalgamated free factor

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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 amalgamated free factor if either H is trivial or it is a factor in an internal amalgamated free product that is not of the form H *_G G -- in other words, there exists a proper subgroup K of G such that G is the internal amalgamated free product of H and K over H \cap K.

Relation with other properties

Stronger properties