Trim 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|
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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.