Left-inner right-monoidal 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

Statement

A subgroup property p is termed a left-inner right-monoidal subgroup property if it can be expressed using a function restriction expression of the form:

Inner automorphism \to b

where b is a monoidal function property -- in other words, for any group, the collection of functions from the group to itself satisfying property b forms a monoid under composition.

Relation with other metaproperties

Weaker metaproperties