On Galois Groups, Resolvents And Applications
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Abstract
This paper examined Galois groups of polynomials with resolvents. Galois theory addresses the solvability of polynomial equations by radicals, specifically to determine when the polynomial can be solved using a sequence of operations and roots extractions for higher degree polynomials. This paper investigated polynomials roots, inherent difficulties and complexities associated with computing Galois groups of polynomials with a zero in on the incorporation of resolvents with specific emphasis to polynomials of order 3, 4, 5 and 6 . Applications are also presented.
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References
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