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

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

2004-06-26

arxiv.org/abs/math/0406539v1

Mathematics

Combinatorics

5 pages, 3 figures

Scientific paper

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.

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