The characters of a group of type .
The Factorisation of the Alternating and Symmetric Groups.
The permutation group method for the dilogarithm
We give qualitative and quantitative improvements on all the best previously known irrationality results for dilogarithms of positive rational numbers. We obtain such improvements by applying our permutation group method to the diophantine study of double integrals of rational functions related to the dilogarithm.
The structure of the centralizer of a permutation.
The symmetric group of degree six can be covered by 13 and no fewer proper subgroups.