Proofs of Sylow’s Theorems in Group Theory- Part 1

I will try to give a breakdown of the proof of Sylow’s theorems in group theory. These theorems can be tricky to understand, and especially retain even if you’ve understood the basic line of argument. 1. Sylow’s First Theorem- If for a prime number , , and , then there is a subgroup such thatContinue reading “Proofs of Sylow’s Theorems in Group Theory- Part 1”

Why I have nothing better to do than blog :(

After trying to follow blogs by various mathematicians, I have concluded that having a digital presence is pretty darned cool and useful in academia! Hence, in my pursuit of the forever-elusive elixir of “cool”, I have decided to record my progress in Algebraic Geometry through this blog. I’m no expert. But I feel trying to explain conceptsContinue reading “Why I have nothing better to do than blog :(“