# 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} }

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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