Linear characters of Sylow subgroups of symmetric groups

DOI10.1016/j.jalgebra.2021.04.036OpenAlexW3169666206MaRDI QIDQ2035824

Eugenio Giannelli, Jason Long, Stacey Law

Publication date: 25 June 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07631

zbMATH Keywords

symmetric groupsSylow subgroupslinear characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Cites Work

• McKay natural correspondences on characters.
• The representation theory of the symmetric groups
• Linear characters of Sylow subgroups.
• On permutation characters and Sylow \(p\)-subgroups of \(\mathfrak{S}_n\)
• Characterizing normal Sylow \(p\)-subgroups by character degrees.
• McKay bijections for symmetric and alternating groups
• Sylow branching coefficients for symmetric groups
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