| Título: | The class groups of arithmetically equivalent Algebras / |
| Autores: | Arsenault, Nicolas. |
| Fecha: | 1996 |
| Publicador: | McGill University |
| Fuente: |
Ver documento |
| Tipo: | Electronic Thesis or Dissertation |
| Tema: | Mathematics. |
| Descripción: | Two number fields having the same Dedekind Zeta function need not have isomorphic class groups. However, the p-parts of these class group are isomorphic except possibly for a finite number of exceptional primes p. These exceptional prime numbers divide the degree of the normal closure of the number field. In this thesis we extend this result to etale algebras having the same Dedekind Zeta function. These algebras consist of direct sums of a finite number of number fields. We apply this to the study of the class groups of subfields of normal extensions having Galois group isomorphic to GL$ sb2$(F$ sb{p}$). |
| Idioma: | en |
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