NCT-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


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

Definition

Symbol-free definition

A subgroup property is said to be NCT if it satisfies all the following conditions:

Instances

The property of being a core-free subgroup, for instance, is a NCT-subgroup property.

Relation with other metaproperties

Opposite metaproperties

An NCT-closed subgroup property cannot be normal closure-closed. Hence, in particular it cannot be join-closed.