Avoiding maximal parabolic subgroups of S_k

Details Avoiding maximal parabolic subgroups of S_k Avoiding maximal parabolic subgroups of S_k

2000-06-21

arxiv.org/abs/math/0006164v1

Mathematics

Combinatorics

Scientific paper

We find an explicit expression for the generating function of the number of
permutations in S_n avoiding a subgroup of S_k generated by all but one simple
transpositions. The generating function turns out to be rational, and its
denominator is a rook polynomial for a rectangular board.

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