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arxiv: 2212.06650 · v2 · pith:FCEOUHJX · submitted 2022-12-13 · math.RT · math.CO

Positivity of Sylow branching coefficients of symmetric groups

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keywords arxivbranchingcoefficientsgroupspositivitysylowsymmetricalgebra
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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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