9 problems.
- Left and right eigenvectors of a matrix for distinct eigenvalues
- Existence and uniqueness of polar decomposition
- Order of 1+p in (Z/p²Z)* and construction of a non-abelian group of order p³
- Simple groups with subgroups of bounded index
- Localization of Z[X]/(f) at non-zero divisors is a direct sum of fields
- Projective, flat, and injective module constructions via tensor and Hom
- Irreducibles and non-UFD structure in Z[sqrt(-n)] for squarefree n > 3
- Cyclic multiplicative group and existence of irreducible polynomials over finite fields
- Algebraic degree and Galois group of sin(2π/p) over Q