The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website. For this issue, we have a very special interview with Erica Klarreich. Erica earned her doct…| Girls' Angle
In Part I we discussed some conceptual proofs of the Sylow theorems. Two of those proofs involve reducing the existence of Sylow subgroups to the existence of Sylow subgroups of $latex S_n$ and $la…| Annoying Precision
As an undergraduate the proofs I saw of the Sylow theorems seemed very complicated and I was totally unable to remember them. The goal of this post is to explain proofs of the Sylow theorems which …| Annoying Precision
In this post we’ll describe the representation theory of the additive group scheme $latex \mathbb{G}_a$ over a field $latex k$. The answer turns out to depend dramatically on whether or not $…| Annoying Precision