Title: An Infinitely Large Napkin
Tags: ch1 ch1.4 ch1.1

The special linear group of degree \(n\) (mathematically \(\text{SL}_n(\mathbb{R})\)) is the set of \(n \times n\) matrices which have determinant 1, with the operation matrix multiplication \(\times\).

Q: The [...] is [...]. We denote it by [...].
A: order of a group; the number of elements in \(G\); \(|G|\)

Q: The [...] of a group is [...]. We denote it [...].
A: order of an element \(g \in G\); the smallest positive integer \(n\) such that \(g^n=1\), or \(\infty\) if no such \(n\) exists; by \(\text{ord } g\)