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 [4, J. Algebra 506 (2018), 409–428] and developed in [5, J. London Math. Soc. (2) 103 (2021), 697–728] concerning the case of odd primes.
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