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arXiv · 1904.00638

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

Tung Le·Kay Magaard·Alessandro Paolini
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Abstract

We develop in this work a method to parametrize the set $\mathrm{Irr}(U)$ 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 $\mathrm{Irr}(U)$ when $G=\mathrm{F}_4(2^f)$.

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BibTeXRIS

Tung Le, Kay Magaard, Alessandro Paolini. 2019-04-01. On the characters of Sylow $p$-subgroups of finite Chevalley groups $G(p^f)$ for arbitrary primes. https://arxiv.org/abs/1904.00638

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