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Abstract

193,883 + 1 = 193,884. This seems like quite a trivial and elementary calculation, and technically, it is. However, this simple equation is an observation that helped establish the significance of the Monster group to mathematics as a whole. Although the Monster is an aspect of group theory, which is a vast area of mathematics, the majority of the information and research about the Monster has taken place in the last forty years, and thus, it potentially still has many mysteries to discover and add to the incomplete information obtained so far. Although it is a fascinating group by itself, one of the most interesting aspects of the Monster group is its unusual and subtle correlation to areas of mathematics and science that seem completely unrelated. It is a simple enough group to grasp even if its applications are nuanced, difficult, and at times deceiving, but it is practically the culmination of the entire field of group theory and, thus, requires prior knowledge of certain aspects of group theory before discussion of this fascinating object can begin.

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