Balanced subgroup property (generic notion)

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This article is about the general notion of balanced subgroup property. For the typical use of balanced subgroup property in the context of the function restriction formalism, refer balanced subgroup property (function restriction formalism).

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

We need to have two inputs with respect to which we can talk of balanced subgroup property:

For a given formalism based on the relational mapping system, a subgroup property is termed balanced if it has a formal expression (in that formalism) with equal left and right sides.

Definition with symbols

We need to have two inputs with respect to which we can talk of balanced subgroup property:

For a given formalism based on the relational mapping system, a subgroup property is termed balanced if it has a formal expression (in that formalism) of the form aa.