Jul 02, 2017

just today cleaning out my desk i found this again

http://www.math.jhu.edu/~smahanta/Teaching/Spring10/Stillwel...

>The aim of this paper is to prove the unsolvability by radicals of the quintic (in fact of the general nth degree equation for n >= 5) using just the fundamentals of groups, rings and fields from a standard first course in algebra.

essentially all of the fundamentals of galois theory in 5 short (very readable!) pages.