5 problems.
- Irreducibility, splitting field, and Galois group of \(x^n-z\) over \(\mathbb{Q}(z)\)
- Groups of order \(pqr\) are not simple; simplicity of groups of order \(12p\) for \(p=5,7,11\)
- The Galois module \(K\) is the regular representation, and cyclic Kummer generators
- The group of upper-triangular unipotent \(3\times 3\) matrices over \(\mathbb{F}_p\) is nonabelian, \(g^p=I\) for \(p\) odd, and \(D_8\) versus the quaternionic group for \(p=2\)
- Minimal faithful permutation degrees of the groups of order \(8\)