%0 Journal Article %1 blumsmith2013fundamental %A Blum-Smith, Ben %A Coskey, Samuel %D 2013 %K arxiv galois math %T The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory %U http://arxiv.org/abs/1301.7116 %X We describe the Fundamental Theorem on Symmetric Polynomials (FTSP) and offer a novel proof that arose out of an informal course on group theory. The paper develops the proof in tandem with the pedagogical context that led to it. We also discuss the role of the FTSP both as a lemma in the original historical development of Galois theory and as an early example of the connection between symmetry and expressibility that is described by the theory.

@article{blumsmith2013fundamental, abstract = {We describe the Fundamental Theorem on Symmetric Polynomials (FTSP) and offer a novel proof that arose out of an informal course on group theory. The paper develops the proof in tandem with the pedagogical context that led to it. We also discuss the role of the FTSP both as a lemma in the original historical development of Galois theory and as an early example of the connection between symmetry and expressibility that is described by the theory.}, added-at = {2013-02-03T20:17:01.000+0100}, author = {Blum-Smith, Ben and Coskey, Samuel}, biburl = {https://www.bibsonomy.org/bibtex/26120182b0ee42c3c7690b0e9ba508dda/vch}, description = {[1301.7116] The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory}, interhash = {ba751c77299f64eab1f27cd3a42b6d0c}, intrahash = {6120182b0ee42c3c7690b0e9ba508dda}, keywords = {arxiv galois math}, note = {cite arxiv:1301.7116Comment: 11 pages, 1 figure}, timestamp = {2013-02-03T20:17:01.000+0100}, title = {The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory}, url = {http://arxiv.org/abs/1301.7116}, year = 2013 }