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Some stable plethysms

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arxiv 2212.06964 v1 pith:DD5I2TMA submitted 2022-12-14 math.CO math.RT

Some stable plethysms

classification math.CO math.RT
keywords somestabilitybessenrodtbowmancasescoefficientsconjectureincreasing
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In this note, we prove some new stability results for plethysm coefficients. As special cases, we verify a conjecture of Wildon, and show the stability of sequences recently predicted by Bessenrodt, Bowman and Paget to be weakly increasing.

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