Class numbers of algebraic number fields of Eisenstein type

DOI DOI Open Access

Search this article

Description

AbstractLet K be an algebraic number field, of degree n, with a completely ramifying prime p, and let t be a common divisor of n and (p − 1)2. Then it is proved that if K does not contain the unique subfield, of degree t, of the p-th cyclotomic number field, then we have (hK, n) > 1, where hK is the class number of K. As applications, we give several results on hK of such algebraic number fields K.

Journal

Keywords

Details 詳細情報について

Report a problem

Back to top