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:
“So in accepting the leading of the sentiments, it is not what we believe concerning the immortality of the soul, or the like, but the universal impulse to believe, that is the material circumstance, and is the principal fact in this history of the globe.”
—Ralph Waldo Emerson (1803–1882)
“Are not all finite beings better pleased with motions relative than absolute?”
—Henry David Thoreau (1817–1862)
“What have Massachusetts and the North sent a few sane representatives to Congress for, of late years?... All their speeches put together and boiled down ... do not match for manly directness and force, and for simple truth, the few casual remarks of crazy John Brown on the floor of the Harper’s Ferry engine-house,—that man whom you are about to hang, to send to the other world, though not to represent you there.”
—Henry David Thoreau (1817–1862)
“In properly organized groups no faith is required; what is required is simply a little trust and even that only for a little while, for the sooner a man begins to verify all he hears the better it is for him.”
—George Gurdjieff (c. 1877–1949)