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:
“The history of a soldier’s wound beguiles the pain of it.”
—Laurence Sterne (1713–1768)
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)
“Young children make only the simple assumption: “This is life—you go along....” He stands ready to go along with whatever adults seem to want. He stands poised, trying to figure out what they want. The young child is almost at the mercy of adults—it is so important to him to please.”
—James L. Hymes, Jr. (20th century)
“Women over fifty already form one of the largest groups in the population structure of the western world. As long as they like themselves, they will not be an oppressed minority. In order to like themselves they must reject trivialization by others of who and what they are. A grown woman should not have to masquerade as a girl in order to remain in the land of the living.”
—Germaine Greer (b. 1939)