Mathematika

Research Article

Class groups of metacyclic groups of order p'q,p a regular prime

M. E. Keatinga1

a1 Imperial College, London, S.W.7.

Let p be an odd prime, let q be a divisor of p – 1, and let α be a primitive q-th root modulo p. For each natural number r the metacyclic group Gr is defined by

S0025579300005817_eqnU1

(Received September 11 1973)

Key Words:

  • 12B25: ALGEBRAIC NUMBER FIELDS; Local fields; Class field theory.