On plethysm conjectures of Stanley and Foulkes: the $2 \times n$ case

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We prove Stanley's plethysm conjecture for the $2 \times n$ case, which composed with the work of Black and List provides another proof of Foulkes conjecture for the $2 \times n$ case. We also show that the way Stanley formulated his conjecture, it is false in general, and suggest an alternative formulation.
5 pages, 3 figures

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Combinatorics, 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/71682

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406539
 http://arxiv.org/abs/math/0406539

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arXiv