We derive a multivariate generating function which counts signed permutations by their cycle type and to other descent statistics, analogous to a result of Gessel and Reutenauer [4,5] for (unsigned) permutations. The derivation uses a bijection which is the hyperoctahedral analogue of Gessel’s necklace bijection.
|Original language||English (US)|
|Number of pages||11|
|Journal||European Journal of Combinatorics|
|State||Published - Nov 1993|