Fusion systems on a Sylow $p$-subgroup of $SU_4(p)$

Raul Moragues Moncho

doi:10.1016/j.jalgebra.2021.09.019

paper

Fusion systems on a Sylow $p$ -subgroup of $S U_{4} (p)$

arXiv:2003.04842 · doi:10.1016/j.jalgebra.2021.09.019

Abstract

We determine, for $p$ odd, all saturated fusion systems on a Sylow $p$ -subgroup $S$ of the unitary group $S U_{4} (p)$ and we prove that they are all realizable by finite groups. In particular, we prove that $S$ does not support any exotic fusion systems.

arXiv comment17 pages

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Algorithms for fusion systems with applications to $p$ -groups of small order

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Fusion systems on a Sylow $p$ -subgroup of $S U_{4} (p)$