Lecture 7

Review of group theory

This material does not appear in Massey. This is supposed to be a review of the most basic notions of group theory. It would be great if all of the following concepts could be briefly described.

Define what a group is.
Examples - (Z,+), (R,+), (R\0,*)
Multiplicative versus additive notation for Z.
The cyclic groups of finite order.
Subgroups.
Group homomorphisms.
Normal subgroups and quotients.

I will supplement this talk with a handout with examples. Please see me if you would like references, or would like to discuss this material.