Week 1

Week 1, review of linear algebra.

Lecture 1
Introduction to the course; Review: Linear algebra; Definition of groups.

Read: 1st, 1.1 and p. 38–42. 2nd, ?.

Lecture 2
Administrative notes; Generalities on groups; Symmetric groups on $$n$$ letters; A stabilizer subgroup; The subgroups of $$\mathbb{Z}$$; Cyclic subgroups gen by element.

Read: 1st, 2.1, 2.2. 2nd, ?.

Lecture 3
The story so far; Isomorphisms; Homomorphisms; Images.

Read: 1st, 2.3, 2.4. 2nd, ?.