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Journal of the London Mathematical Society Advance Access originally published online on August 29, 2007
Journal of the London Mathematical Society 2007 76(1):181-196; doi:10.1112/jlms/jdm051
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© 2007 London Mathematical Society

Exotic normal fusion subsystems of general linear groups

Albert Ruiz

Departament de Matemàtiques
Edifici C
Universitat Autònoma de Barcelona
08193 Bellaterra (Barcelona)
Spain

We classify the saturated fusion subsystems of index prime to p of the general linear group over Fq over a Sylow p-subgroup, where q is a prime power prime to an odd prime p. In this classification we obtain some of the exotic p-local finite groups discovered by Broto and Møller as saturated fusion subsystems of general linear groups.

Albert.Ruiz{at}uab.cat

2000 Mathematics Subject Classification 55R35 (primary), 20D20 (secondary).

This work was partially supported by FEDER-MEC grant MTM2004-06686.

Received March 1, 2006; revised November 22, 2006; published online August 29, 2007.


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