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Avoiding maximal parabolic subgroups of S_k
Abstract : 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.
Cited literature [6 references]
https://hal.inria.fr/hal-00958946
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Thursday, March 13, 2014 - 4:49:43 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:19 AM
Long-term archiving on: : Friday, June 13, 2014 - 12:03:08 PM
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Thursday, March 13, 2014 - 4:49:43 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:19 AM
Long-term archiving on: : Friday, June 13, 2014 - 12:03:08 PM
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