Sylow branching coefficients for symmetric groups

Eugenio Giannelli; Stacey Law

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Sylow branching coefficients for symmetric groups

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arxiv 1909.09446 v1 pith:Y5CXP52Q submitted 2019-09-20 math.RT math.COmath.GR

Sylow branching coefficients for symmetric groups

Eugenio Giannelli , Stacey Law This is my paper

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keywords sylowsymmetricbranchingcharacterscoefficientsgroupsmathfrakarbitrary

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Let $p\ge 5$ be a prime and let $n$ be a natural number. In this article we describe the irreducible constituents of the induced characters $\phi\big\uparrow^{\mathfrak{S}_n}$ for arbitrary linear characters $\phi$ of a Sylow $p$-subgroup of the symmetric group $\mathfrak{S}_n$, generalising earlier results of the authors. By doing so, we introduce Sylow branching coefficients for symmetric groups.

Sylow branching coefficients for symmetric groups

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