Dixon-Wilf

Evaluate the cycle decomposition of the permutation 0 induced by on X which gives the orbits of ( ) on X. Construct a y e 7 that is constant on these orbits and takes values y 7 on these orbits which are distributed uniformly at random over 7. The Dixon-Wilf algorithm shows that this y 7 is distributed uniformly over the symmetry classes of G. 

The eigenvalue theorem, a standard topic in any linear algebra text and mathematics book, is particularly well presented by Dixon,33 Wilf,34 and Nicholson.35... 

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