Elementary abelian p -subgroups of algebraic groups

Let be an algebraically closed field and let G be a finite-dimensional algebraic group over which is nearly simple , i.e. the connected component of the identity G 0 is perfect, C G ( G 0 )= Z ( G 0 ) and G 0 / Z ( G 0 ) is simple. We classify maximal elementary abelian p -subgroups of G which consist of semisimple elements, i.e. for all primes p ≠ char .Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/42809/1/10711_2004_Article_BF00150757.pd