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Colloquium, Spring 2004

MATHEMATICS COLLOQUIUM Date: Thursday May 13 Time: 4:00pm Place: BH 227 Title: Galois Theory and Solvability by Radicals Speaker: Lael Hebert. Abstract: The quadratic formula is a well-known equation for finding the roots of any quadratic polynomials. Similar formulas exist for cubic and quartic polynomials, but not for the quintic. This talk will use Galois theory to address the problem of the insolvability of the general quintic polynomial. We will discuss the relationship between subfields of a splitting field and subgroups of the Galois group. A basic background in groups and fields is helpful. Cookies: In BH 300 at 3:30pm thanks to Nora.