History For Finite Simple Groups
There are two threads in the history of finite simple groups – the discovery and construction of specific simple groups and families, which took place from the work of Galois in the 1820s to the construction of the Monster in 1981; and proof that this list was complete, which began in the 19th century, most significantly took place 1955 through 1983 (when victory was initially declared), but was only generally agreed to be finished in 2004. As of 2010, work on improving the proofs and understanding continues; see (Silvestri 1979) for 19th century history of simple groups.
Read more about this topic: Simple Group
Famous quotes containing the words history, finite, simple and/or groups:
“A man acquainted with history may, in some respect, be said to have lived from the beginning of the world, and to have been making continual additions to his stock of knowledge in every century.”
—David Hume (1711–1776)
“Any language is necessarily a finite system applied with different degrees of creativity to an infinite variety of situations, and most of the words and phrases we use are “prefabricated” in the sense that we don’t coin new ones every time we speak.”
—David Lodge (b. 1935)
“The birth of the new constitutes a crisis, and its mastery calls for a crude and simple cast of mind—the mind of a fighter—in which the virtues of tribal cohesion and fierceness and infantile credulity and malleability are paramount. Thus every new beginning recapitulates in some degree man’s first beginning.”
—Eric Hoffer (1902–1983)
“The awareness of the all-surpassing importance of social groups is now general property in America.”
—Johan Huizinga (1872–1945)