Zde se nacházíte:
Informace o publikaci
Formulae for the relative class number of an imaginary abelian field in the form of a product of determinants
Autoři | |
---|---|
Rok publikování | 2002 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Acta Mathematica et Informatica Universitatis Ostraviensis |
Fakulta / Pracoviště MU | |
Citace | |
Obor | Obecná matematika |
Klíčová slova | Relative class number |
Popis | There is in the literature a lot of deteminant formulae involving the relative class number of an imaginary abelian number field. Most of these formulae can be obtained in a unique way by means of the Stickelberger ideal. Some papers giving the relative class number formula for intermediate fields of the cyclotomic Zp-extension of an imaginary abelian field in the form of a product of determinants have appeared recently. The aim of this note is to show that it is not essential to assume that we deal with a layer in the cyclotomic Zp-extension, the similar construction can be done for any extension of abelian fields. |
Související projekty: |