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

@article{Le2019OnTC,
title={On the characters of Sylow p-subgroups of finite Chevalley groups G(pf) for arbitrary primes},
author={Tung Le and Kay Magaard and Alessandro Paolini},
journal={Math. Comput.},
year={2019},
volume={89},
pages={1501-1524}
}
• Published in Math. Comput. 2019
• Mathematics, Computer Science
• 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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