Monster Group

The Monster group is the largest of the 26 sporadic simple groups, containing 20 of the other sporadic groups as subquotients and none of the remaining six, which are consequently called the pariahs. Its order is approximately 8.08 times ten to the 53rd power, a number with 54 digits. Bernd Fischer and Robert Griess independently predicted its existence in the early-to-mid 1970s, and Griess completed an explicit construction in 1980 to 1982, describing it as the friendly giant. The Monster is central to monstrous moonshine, an unexpected connection between the group's representation theory and the coefficients of a modular function called the j-invariant, a phenomenon Richard Borcherds proved in 1992. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/