Parker vector
From Wikipedia, the free encyclopedia
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, defined by Richard A. Parker.
The Parker vector P of a permutation group G acting on a set of size n, is the vector whose kth component for k = 1, ..., n is given by:
- where ck(g) is the number of k-cycles in the cycle decomposition of g.
