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:
“There is a constant in the average American imagination and taste, for which the past must be preserved and celebrated in full-scale authentic copy; a philosophy of immortality as duplication. It dominates the relation with the self, with the past, not infrequently with the present, always with History and, even, with the European tradition.”
—Umberto Eco (b. 1932)
“Sisters define their rivalry in terms of competition for the gold cup of parental love. It is never perceived as a cup which runneth over, rather a finite vessel from which the more one sister drinks, the less is left for the others.”
—Elizabeth Fishel (20th century)
“It would not be an easy thing to bring the water all the way to the plain. They would have to organize a great coumbite with all the peasants and the water would unite them once again, its fresh breath would clear away the fetid stink of anger and hatred; the brotherly community would be reborn with new plants, the fields filled with to bursting with fruits and grains, the earth gorged with life, simple and fertile.”
—Jacques Roumain (1907–1945)
“Only the groups which exclude us have magic.”
—Mason Cooley (b. 1927)