We study the restriction to Sylow subgroups of irreducible characters of symmetric groups. In particular, we give a precise description of the degrees of the irreducible constituents in terms of the shape of the partition that labels a given irreducible character. Our main result is a wide generalization of [Giannelli and Navarro (Proc Am Math Soc 146(5):1963-1976, 2018), Theorem 3.1].
Non-linear Sylow branching coefficients for symmetric groups / Giannelli E.; Volpato G.. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - ELETTRONICO. - 303:(2023), pp. 0-0. [10.1007/s00209-022-03181-7]
Non-linear Sylow branching coefficients for symmetric groups
Giannelli E.
;Volpato G.
2023
Abstract
We study the restriction to Sylow subgroups of irreducible characters of symmetric groups. In particular, we give a precise description of the degrees of the irreducible constituents in terms of the shape of the partition that labels a given irreducible character. Our main result is a wide generalization of [Giannelli and Navarro (Proc Am Math Soc 146(5):1963-1976, 2018), Theorem 3.1].
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