Section outline

  • This week we investigate the notion of coset of a subgroup and begin to prove some facts about cosets, including Lagrange's Theorem, the first powerful result proved in this course. We then go on to investigate the notion of conjugacy in a group, and we define the centre subgroup of an arbitrary group. We conclude the week's work by studying conjugacy of elements in the specific context of the symmetric group.

    This week's classes should correspond approximately to sections 3.1 to 3.3 of the notes.

    At the end of this week you will be able to use the Week 4 Quiz.