Positivity of Sylow branching coefficients of symmetric groups

2022/12/13 by Stacey Law, Law, Stacey · 1 citation
Mathematics · #20C15 #20C30 #Advanced Algebra and Geometry #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2212.06650

openalex publication_date 2022/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Minimal numbers of linear constituents in Sylow restrictions for symmetric groups

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