Parker vector

In mathematics, especially the field of group theory, the Parker vector is an integer vector that describes a permutation group in terms of the cycle structure of its elements.
Definition.
The Parker vector "P" of a permutation group "G" acting on a set of size "n", is the vector whose "k"th component for "k" = 1, ..., "n" is given by:
Applications.
The Parker vector can assist in the recognition of Galois groups.