UL-intersection-closed subgroup property
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This article defines a subgroup metaproperty: a property that can be evaluated to true/false for any subgroup property
View a complete list of subgroup metaproperties
View subgroup properties satisfying this metaproperty| View subgroup properties dissatisfying this metaproperty
VIEW RELATED: subgroup metaproperty satisfactions| subgroup metaproperty dissatisfactions
A subgroup property is termed UL-intersection-closed if for any group , any nonempty (but otherwise arbitrary, possibly infinite) indexing set , and subgroups , such that satisfies property in for each , we have:
satisfies property in .