In which we meet the Orbit-Counting Formula
In which we explore groups of order and encounter Cauchy’s Theorem.
In which we explore the Orbit-Stabiliser Theorem.
In which we meet group actions.
In which we meet and explore quotient groups.
In which we think some more about homomorphisms, and meet normal subgroups.
In which we think about homomorphisms, and wonder how many genuinely different groups there are with small orders.
In which we wonder what a non-integer lecture is anyway.
In which we prove Lagrange’s theorem, and deduce many interesting results as a consequence.