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25 April 2024
 
  » arxiv » math.CO/0406539

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On plethysm conjectures of Stanley and Foulkes: the $2 imes n$ case
Pavlo Pylyavskyy ;
Date 26 Jun 2004
Subject Combinatorics MSC-class: 05E10 | math.CO
AbstractWe prove Stanley’s plethysm conjecture for the $2 imes n$ case, which composed with the work of Black and List provides another proof of Foulkes conjecture for the $2 imes n$ case. We also show that the way Stanley formulated his conjecture, it is false in general, and suggest an alternative formulation.
Source arXiv, math.CO/0406539
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