Signed permutation statistics and cycle type

Victor Reiner

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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 languageEnglish (US)
Pages (from-to)569-579
Number of pages11
JournalEuropean Journal of Combinatorics
Issue number6
StatePublished - Nov 1993


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