6 problems. Equivalence of irreducible representations versus equality of determinants Degree of \(\QQ(7^{1/5},5^{1/4})\) over \(\QQ\) A square matrix is similar to its transpose Groups of order 18 Galois group of \(\QQ(\sqrt{2+\sqrt{2}})/\QQ\) No finite group is the union of conjugates of a proper subgroup Browse these problems in source order