Join-closed group property

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This article defines a group metaproperty: a property that can be evaluated to true/false for any group property
View a complete list of group metaproperties


BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

Definition

A group property p is termed join-closed if given a nonempty collection of subgroups, each of which has the property p as an abstract group, so does their join i.e. the subgroup generated by them.

Relation with other metaproperties

Weaker metaproperties