Strongly UL-intersection-closed subgroup property
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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 strongly UL-intersection-closed if for any group , any (possibly empty) indexing set , and subgroups , such that satisfies property in for each , we have:
satisfies property in .