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Positivity of Sylow branching coefficients of symmetric groups

Published 13 Dec 2022 in math.RT and math.CO | (2212.06650v2)

Abstract: In this article we investigate the positivity of Sylow branching coefficients for symmetric groups when $p = 3$. In particular, we complete the discussion begun by Giannelli and the author in arXiv:1712.02642 (J. Algebra) and developed in arXiv:1909.09446 (J. London Math. Soc.) concerning the case of odd primes.

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