Upper join of direct factors

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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 termed an upper join of direct factors if there exist intermediate subgroups K_i, i \in I of G containing H, such that:

Relation with other properties

Stronger properties

Weaker properties