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For a simple algebraic group $G$ over an algebraically closed field, we studyproducts of normal subsets. For this we mark the nodes of the Dynkin diagram of$G$. We use two types of labels, a binary marking and a labeling withnon-negative integers. The first is used to recognize large conjugacy classeswhich appear in a product of two conjugacy classes while the second is used tokeep track of multiplicities of regular diagrams. In particular, we formulatesufficient conditions in terms of marked diagrams, for a product of normalsubsets in $G$ to contain regular semisimple elements.

Products of conjugacy classes in simple algebraic groups in terms of diagrams