## Groups #

Groups are a fundamental algebraic structure with a deep and beautiful theory. A group is just a set equipped with a binary operation that is invertible and has a unit.

### Introduction to group theory #

I like Rotman’s *Introduction to the Theory of Groups* as a graduate / advanced undergraduate general introductin. A lot of nice historical notes about where the ideas came from as well. Lots of treasures in the exercises.

### Links and resources #

- A nice explanation of some places where the monster group, the largest finite simple group, pops up.