Article ID Journal Published Year Pages File Type
4588255 Journal of Algebra 2007 34 Pages PDF
Abstract

We complete the classification of irreducible 2F-modules for groups of Lie type acting in the natural characteristic by dealing with the three open cases from [R.M. Guralnick, G. Malle, Classification of 2F-modules, II, in: C. Ho, P. Sin, P. Tiep, A. Turull (Eds.), Finite Groups 2003, Proceedings of the Gainesville Conference on Finite Groups, March 6–12, 2003, de Gruyter, Berlin, 2004, pp. 117–183]. We also finish the classification of such modules for almost quasi-simple groups, and show that in all cases there is an offender with cubic action.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory