Subgroups of simple rings/theory of coagulation

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The first half of this project deals with the structure and properties of simple rings, mathematical objects that are of fundamental importance in many branches of pure mathematics, as well as in applications to other areas of science. One of the goals of this project, for example, is to gain a precise understanding of projective representations of groups - important tools in such areas of science as the study of the structure of atoms and crystals, and solid-state physics.