Section outline

  • This week's objectives will be to study the symmetric and alternating groups, which are certain groups of permutations of finite sets. We will consider two-line notation and disjoint cycle notation for permutations, and familiarise ourselves with converting between these two notations. We will also show that the alternating group is a subgroup of the symmetric group.

    Towards the end of the week we will define the cosets of a subgroup of a group and begin to investigate the properties of cosets.

    This week's classes correspond roughly to sections 2.6 and  2.7 of the lecture notes.

    At the end of this week you will be able to use the Week 3 quiz.