Author/Authors :
Robert M. Guralnick، نويسنده , , Ross Lawther، نويسنده , , Gunter Malle، نويسنده ,
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.
Keywords :
Failure of factorization , Quasithin simple groups , F modules , 2F modules