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There are three main sources of group theory. The first source of group theory was number theory, beginning in the late 1700s. A second source was the theory of algebraic equations, leading to the study of permutations, also beginning in the late 1700s. A third source of group theory was geometry beginning around 1800.
There are three main sources of group theory. The first source of group theory was number theory, beginning in the late 1700s. A second source was the theory of algebraic equations, leading to the study of permutations, also beginning in the late 1700s. A third source of group theory was geometry beginning around 1800.
==Origins of Group Theory==
It is generally recognised that Group Theory began with Evariste Galois in the early 19th century, who recognised some patterns in the roots of Quintics. The legend is that he invented Group Theory the night before he was killed in a duel.
Galois certainly fought a duel with Perscheux d'Herbinville on 30 May, 1832 (the reason for the duel not being clear but definitely linked with a female; many sources claim she was a prosititute.) Galois was wounded in the duel and was abandoned by d'Herbinville and his own seconds and found later by a peasant. He died in Cochin hospital on 31 May.
In his papers was found a note which reads:
<blockquote>
There is something to complete in this demonstration. I do not have the time.
</blockquote>
It is this which has led to the legend that he spent his last night writing out all he knew about group theory.
[[Category:Algebra]]
[[Category:Algebra]]