We provide estimates for the xed point ratios in the permutation representations of a nite classical group over a eld of order q on k-subspaces of its natural n-dimensional module. For suuciently large n each element must either have a negligible ratio or act linearly with a large eigenspace. We obtain an asymptotic estimate in the latter case, which in most cases is q ?dk where d is the codime...

malaria is one of the worldwide parasitic diseases which threaten the life of hundreds of millions of people at the malarious areas each year. the emergence of chloroquine-resistant strains of plasmodium falciparum in most of the malarious areas has encountered the relevant countries with some difficulties about treating the acute cases of the disease particulary if the monotherapy regimen has ...

Let G be a finite primitive permutation group on set Ω and recall that the fixed point ratio of an element x∈G, denoted fpr(x), is proportion points in by x. Fixed ratios this setting have been studied for many decades, finding wide range applications. In paper, we are interested comparing fpr(x) with order Our main theorem provides classification triples (G,Ω,x) as above property x has prime r...