In mathematics, more specifically in the field of group theory, a solvable group (or soluble group) is a group that can be constructed from abelian groups using extensions. That is, a solvable group is a group whose derived series terminates in the trivial subgroup.
Historically, the word "solvable" arose from Galois theory and the proof of the general unsolvability of quintic equation. Specifically, a polynomial equation is solvable by radicals if and only if the corresponding Galois group is solvable.
Read more about Solvable Group: Definition, Examples, Properties, Burnside's Theorem
Famous quotes containing the words solvable and/or group:
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—David Mamet (b. 1947)
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—David Elkind (20th century)