The 2-Sylow Subgroup of the Wild Kernel of Exceptional Number Fields Original Research Article

In this paper we derive results, for exceptional number fields, about the relationship between the wild kernel, the group of divisible elements in K2(F), and classgroups of cyclotomic extensions at the prime 2. We prove that the group of divisible elements in K2(F) is generated by Dennis–Stein symbols, for any number field F which is not imaginary quadratic.