Problem of wild type

Definition
A problem of wild type over a field is a problem such that the problem of classifying pairs of matrices of any order $$n$$ over the field is included in the given problem i.e. the matrix pair similarity class problem reduces to the given problem.

The term wild type (and related terms tame type and semiwild type) are typically used in the context of the problem of completely describing the indecomposable representations of a finite group over a finite field or local ring(typically, a $$p$$-group over a field of characteristic $$p$$ or local ring whose residue field has characteristic $$p$$). In these contexts, these terms can be given definite checkable algebraic meaning.