The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups

DOI10.1142/S0219498821502091OpenAlexW3041529542MaRDI QIDQ5163444

Nanying Yang, Alexey Mikhailovich Staroletov

Publication date: 4 November 2021

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

Full work available at URL: https://arxiv.org/abs/1911.06049

zbMATH Keywords

irreducible representationsymmetric groupminimal polynomialalternating group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Uses Software

• GAP

Cites Work

• Symmetric groups are determined by their character degrees.
• On the minimal degrees of characters of \(S_n\)
• On the number of rim hook tableaux
• A Remark on Stirling's Formula
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Hall-Higman-type theorems for semisimple elements of finite classical groups
• Minimal polynomials of elements of order $p$ in $p$-modular projective representations of alternating groups
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