Left-hereditary subgroup property
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]
This article is about a general term. A list of important particular cases (instances) is available at Category: Left-hereditary subgroup properties
A subgroup property is said to be left-hereditary if any subgroup of a subgroup having the property, also has the property.
Definition with symbols
A subgroup property is said to be left-hereditary if given groups ≤ ≤ , such that satisfies property in , also satisfies property in .