Read: Sections 1.3, 1.4, 2.1, and the beginning of Section 2.2
Turn in: (Solutions to or your best efforts on) Problems 2.9, 2.10, 2.11, 2.13, 2.14, 2.18, 2.20, 2.21
- Feel free to look up background terms (e.g. the power set of a set) on the internet or in your Math 108 book if you’re unclear on their definitions.
- Clarification for Problem 2.14: if you think $T$ is not a minimal generating set, you should find a proper subset of $T$ that can still be used to generate every action in $\operatorname{Spin}_{3\times 3}$ (which is the same as finding a proper subset of $T$ that can be used to solve every scrambled board). And if you do think $T$ is a minimal generating set, you should explain why removing any element of $T$ will leave you with a set that can not possibly generate every action in $\operatorname{Spin}_{3\times 3}$.
Extra practice: work through the problems we are skipping
