Strong Gelfand pairs of symmetric groups

DOI10.1142/S0219498821500547OpenAlexW2999181136WikidataQ126378545 ScholiaQ126378545MaRDI QIDQ4988245

Stephen P. Humphries, Nathan Nicholson, Gradin Anderson

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821500547

zbMATH Keywords

symmetric groupGelfand pairwreath productSchur ringstrong Gelfand pair

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

Strong Gelfand pairs of SL(2,p) ⋮ Strong Gelfand subgroups of F ≀ Sn

Uses Software

• GAP
• Magma
• OEIS

Cites Work

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• Multiplicity one theorems: the Archimedean case
• Commutative Schur rings over symmetric groups.
• Multiplicity-free representations of symmetric groups.
• Schur rings.
• Multiplicity one theorem for \((\text{GL}_{n+1}({\mathbb{R}}), \text{GL}_{n} ({ \mathbb{R}}))\)
• The Magma algebra system. I: The user language
• Commutative Schur Rings of Maximal Dimension
• The Subclass Algebra Associated with a Finite Group and Subgroup
• The Largest Degrees of Irreducible Characters of the Symmetric Group
• The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups
• Commutative Schur Rings Over Symmetric Groups II: The Case n=6

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