Counting descent pairs with prescribed colors in the colored permutation groups

Details Counting descent pairs with prescribed colors in the colored permutation groups Counting descent pairs with prescribed colors in the colored permutation groups

2007-09-17

arxiv.org/abs/0709.2551v1

Mathematics

Combinatorics

17 pages, no figures; submitted

Scientific paper

We define new statistics, (c, d)-descents, on the colored permutation groups
Z_r \wr S_n and compute the distribution of these statistics on the elements in
these groups. We use some combinatorial approaches, recurrences, and generating
functions manipulations to obtain our results.

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