## Archive for the ‘Oxford teaching’ Category

### Groups and Group Actions: Lecture 16

May 17, 2017

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

May 15, 2017

In which we meet the Orbit-Counting Formula

### Groups and Group Actions: Lecture 14

May 10, 2017

In which we explore groups of order $p^2$ and encounter Cauchy’s Theorem.

### Groups and Group Actions: Lecture 13

May 8, 2017

In which we explore the Orbit-Stabiliser Theorem.

### Groups and Group Actions: Lecture 12

May 3, 2017

In which we meet group actions.

### Groups and Group Actions: Lecture 11

May 1, 2017

In which we meet and explore quotient groups.

### Groups and Group Actions: Lecture 10

April 26, 2017

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

### Groups and Group Actions: Lecture 9

April 24, 2017

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

April 17, 2017

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

### Groups and Group Actions: Lecture 8

March 9, 2017

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