7 problems.
- Groups of order \(2012\) via semidirect products; nontrivial center
- Localization of a UFD at a multiplicative system is a UFD
- Surjective endomorphisms of Noetherian rings are injective
- Flat modules over domains are torsionfree; flat f.g. modules over a PID
- Polynomials that force diagonalizability over an algebraically closed field
- Galois group of \((x^3-2)(x^2-3)\) over \(\mathbb{Q}\)
- Irreducible \(f\) divides \(x^{q^n}-x\) iff \(\deg f\) divides \(n\)