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.
In which we think about the link between equivalence relations and partitions, and meet cosets.
In which we think about cyclic groups, and renew an old friendship with equivalence relations.
In which we find that the alternating group is a group, and study subgroups in more detail.
In which we explore permutations in more detail.