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solvabili
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There are 9 letters in SOLVABILI ( A1B3I1L1O1S1V4 )
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| Solvabili might refer to |
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In mathematics, Galois theory provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood. * The subject is named after Évariste Galois, who introduced it for studying the roots * of a polynomial and characterizing the polynomial equations that are solvable by radicals in terms of properties of the permutation group of their roots—an equation is solvable by radicals if its roots may be expressed by a formula involving only integers, nth roots and the four basic arithmetic operations. * The theory has been popularized (among mathematicians) and developed by Richard Dedekind, Leopold Kronecker and Emil Artin, and others, who, in particular, interpreted the permutation group of the roots as the automorphism group of a field extension. * Galois theory has been generalized to Galois connections and Grothendieck's Galois theory. |