This week, we will discuss the quotient group \(G/N\) when \(N\) is a normal subgroup, and we’ll discuss \(p\)-groups and Sylow’s Theorem. (I hope to prove Sylow’s Theorem this week, but I may still discuss applications of it next week. So there shouldg be more problems about Sylow in problem set 4).
lecture notes (week 3 material begins on p. 16)
problem set 3 due Monday 2025-09-22. [tex-file] [typst-file]