Postprint version. Published in Journal of Combinatorial Theory, Series A, Volume 36, January 1, 1984, pages 1-14.
Copyright © 1984 Elsevier.
The definitive version is available at http://dx.doi.org/10.1016/0097-3165(84)90074-8
Multivariable extensions of classic permutation cycle structure results are obtained by counting permutations by descents, idescents, imajor index, and basic components.