7 problems.
- A degree-5 irreducible over Z/2, the field of 32 elements, and a matrix of order 31
- Minimal polynomial of \(\sqrt{2}+\sqrt{3}\) over \(\QQ\)
- Units of \(R[x]\) for reduced \(R\), and units of \(\mathbb{Z}_4[x]\)
- At most one nonabelian group of order \(pq\), and the pairs of distinct primes with none
- The number of intermediate fields of a degree-\(4\) Galois extension, and of a degree-\(4\) separable extension
- Derivations of \(\CC[x]\) and simplicity of \(\CC[x]\) as a Weyl module
- Center, linear characters, and irreducible representations of a nonabelian group of order \(p^3\)