The largest character degrees of the symmetric and alternating groups

DOI10.1090/proc/12920zbMath1344.20020arXiv1410.3055OpenAlexW2135276339MaRDI QIDQ2790913

Zoltán Halasi, Hung Ngoc Nguyen, Carolin Hannusch

Publication date: 8 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3055

zbMATH Keywords

partitionssymmetric groupsirreducible charactersalternating groupscharacter degreesYoung diagramshook-lengthslargest character degree

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items

On the second eigenvalue of certain Cayley graphs on the symmetric group, Bounds on the largest Kronecker and induced multiplicities of finite groups, Characters of \(p^\prime\)-degree and Thompson's character degree theorem, Finite groups with an irreducible character of large degree.

Uses Software

• GAP

Cites Work

• Bounding the order of a group with a large character degree.
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• The representation theory of the symmetric groups
• Groups with few characters of small degrees
• On a conjecture of Gluck.
• Cross-Characteristic Embeddings of Finite Groups of Lie Type
• Groups with a character of large degree
• The Largest Degrees of Irreducible Characters of the Symmetric Group
• The largest irreducible representations of simple groups
• The Hook Graphs of the Symmetric Group
• Finite groups with an irreducible character of large degree.