Groups and Group Actions: Lecture 16

In which we meet Cayley’s Theorem and reach the end of this particular adventure, but catch a glimpse of far-off lands still to be explored.

Groups and Group Actions: Lecture 15

In which we meet the Orbit-Counting Formula

Groups and Group Actions: Lecture 14

In which we explore groups of order  and encounter Cauchy’s Theorem.

Groups and Group Actions: Lecture 13

In which we explore the Orbit-Stabiliser Theorem.

Groups and Group Actions: Lecture 12

In which we meet group actions.

Groups and Group Actions: Lecture 11

In which we meet and explore quotient groups.

Groups and Group Actions: Lecture 10

In which we think some more about homomorphisms, and meet normal subgroups.

Groups and Group Actions: Lecture 9

In which we think about homomorphisms, and wonder how many genuinely different groups there are with small orders.

Groups and Group Actions: Lecture 8.5

In which we wonder what a non-integer lecture is anyway.

Groups and Group Actions: Lecture 8

In which we prove Lagrange’s theorem, and deduce many interesting results as a consequence.