Class number of real Abelian fields

摘要

Let l, p be odd primes such that p = 2nl + 1. In the paper the sufficient conditions are proved under which prime q does not divide the class number h(K) of subfields K of Q(zeta(p) + zeta(-1)(p)), where [K : Q] = l. (C) 2014 Elsevier Inc. All rights reserved.