A note on Sinnott's index formula
Volume 82 / 1997
Acta Arithmetica 82 (1997), 57-67
DOI: 10.4064/aa-82-1-57-67
Abstract
Let k be an (imaginary or real) abelian number field whose conductor has two distinct prime divisors. We shall construct a basis for the group C of circular units in k and compute the index of C in the group E of units in k. This result is a generalization of Theorem 3.3 in a previous paper [1].