October Lectures

Week of October 1-5

Oct 2: Properties of group elements. Subgroups.
Oct 4: Equivalent conditions for a subgroup. Exponents and multiples.
Tutorial: Test #1.

Week of October 8-12

Oct 9: Cyclic groups. Generators. Infinite and finite cyclic groups.
Oct 11: Order of elements.
Tutorial: Groups and subgroups.

Week of October 15-19

Oct 16: Isomorphisms. Homomorphisms.
Oct 18: Kernel and image. Permutation groups.
Tutorial: Test #2.

Week of October 22-26

Oct 23: Cycle notation. Transpositions.
Oct 25: Transpositions (cont.). Conjugates.
Tutorial: Homomorphisms and isomorphism.

Week of October 29 - November 2

Oct 30: Cosets. Left coset partition.
Nov 1: Lagrange's theorem.
Tutorial: Test #3.

To September lectures.
To November lectures.