On the characters of Sylow p-subgroups of finite Chevalley groups G(p^f) for arbitrary primes

2019/04/01 by Tung Le, Le, Tung, Kay Magaard +3 · 1 citation
Computer Science · Engineering · Mathematics · #20C33 #20D06 #20D15 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1904.00638

openalex publication_date 2019/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop in this work a method to parametrize the set Irr(U) of irreducible characters of a Sylow p-subgroup U of a finite Chevalley group G(p^f) which is valid for arbitrary primes p, in particular when p is a very bad prime for G. As an application, we parametrize Irr(U) when G=F₄(2^f).

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