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

dc.creatorPylyavskyy, Pavlo
dc.date2004-06-26
dc.date.accessioned2026-07-07T05:09:42Z
dc.date.available2026-07-07T05:09:42Z
dc.descriptionWe 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.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0406539
dc.identifierhttp://arxiv.org/abs/math/0406539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71682
dc.subjectCombinatorics
dc.subject05E10
dc.titleOn plethysm conjectures of Stanley and Foulkes: the $2 \times n$ case
dc.typetext

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