Title: Exotic normal fusion subsystems of General Linear Groups.

Abstract: We classify the saturated fusion subsystems of index prime to $p$ of the general linear group over $\F_q$ over a Sylow $p$-subgroup, where $q$ is a prime power prime to an odd prime $p$. In this classification we get some of the exotic $p$-local finite groups
discovered by C.~Broto and J.~M{\o}ller as saturated fusion subsystems of the general linear group.

Author: Albert Ruiz

Institution: Departament de Matem{\`a}tiques,
Universitat Aut{\`o}noma de Barcelona, 
08193 Cerdanyola del Vall{\`e}s, 
Spain.

Current status: submitted.