The majority of this page will be a student-generated repository of class notes for a class on Geometric Group Theory, taught primarily from John Meier’s *Groups, Graphs, and Trees*.

You can find the course information (including a syllabus and information on homework) at the Course Info page. There is also a link located along the top menu.

## Some Notes on Formatting

We have QuickLaTeX enabled on our site. This allows you to type inline and display math mode, and use some environments (such as *align*), as well as labels and references. Just like in a LaTeX document, you have to tell WordPress when you want something to be in “math mode.” The way you do this is by using dollar signs, just like in a LaTeX document: For example, I can write: “$ f(x) $” and this will be output as .

*Warning: Any use of a dollar sign will result in math mode!*

If you want to include something more complicated, like a commutative diagram, it may be better to use some other method to typeset your work (for example, an online equation editor, or LaTeXiT) and include it as an image.

QuickLaTeX does not allow you to use Theorem, Proof, Definition, etc environments. To include a Theorem or Definition, you must set it on its own line and bold the title yourself, as in the following example:

**Theorem:** A group is free if and only if it acts freely on a tree.

* Proof:* You should also set proofs yourself, and end them yourself. You can use the command \square to mark the end of a proof.

There is no need to number theorems or definitions unless you need to refer to them later in the post.