Trim subgroup property
From Groupprops
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
Contents |
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
Definition
Symbol-free definition
A trim subgroup property is a subgroup property that satisfies the following:
- It is trivially true: That is, the trivial subgroup always satisfies this property.
- It is identity-true: That is, every group satisfies the property as a subgroup of itself.