%0 Journal Article %1 Lerner2011Galois %A Lerner, Leonid %D 2011 %K arxiv galois math %T Galois Theory without abstract algebra %U http://arxiv.org/abs/1108.4593 %X Galois theory is developed using elementary polynomial and group algebra. The method follows closely the original prescription of Galois, and has the benefit of making the theory accessible to a wide audience. The theory is illustrated by a solution in radicals of lower degree polynomials, and the standard result of the insolubility in radicals of the general quintic and above. This is augmented by the presentation of a general solution in radicals for all polynomials when such exist, and illustrated with specific cases. A method for computing the Galois group and establishing whether a radical solution exists is also presented.

@article{Lerner2011Galois, abstract = {Galois theory is developed using elementary polynomial and group algebra. The method follows closely the original prescription of Galois, and has the benefit of making the theory accessible to a wide audience. The theory is illustrated by a solution in radicals of lower degree polynomials, and the standard result of the insolubility in radicals of the general quintic and above. This is augmented by the presentation of a general solution in radicals for all polynomials when such exist, and illustrated with specific cases. A method for computing the Galois group and establishing whether a radical solution exists is also presented.}, added-at = {2011-11-01T20:07:45.000+0100}, author = {Lerner, Leonid}, biburl = {https://www.bibsonomy.org/bibtex/2075bfc05841b14ed632896f97571ec5b/vch}, day = 22, eprint = {1108.4593}, interhash = {7e82b7582283e2cd49666b71038c8dfd}, intrahash = {075bfc05841b14ed632896f97571ec5b}, keywords = {arxiv galois math}, month = aug, timestamp = {2012-03-01T10:42:00.000+0100}, title = {Galois Theory without abstract algebra}, url = {http://arxiv.org/abs/1108.4593}, year = 2011 }