Higher composition laws, integral trace forms and an alternative proof for the Scholz reflection principle

A classification of cubic fields can be done using the trace form and higher analogues of Gauss composition. Using these ideas a new proof for the Scholz reflection principle is given.

Autores:
Cortés Gómez, Santiago Enrique
Tipo de recurso:
Fecha de publicación:
2018
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/34651
Acceso en línea:
http://hdl.handle.net/1992/34651
Palabra clave:
Teoría algebraica de los números
Matemáticas
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
Description
Summary:A classification of cubic fields can be done using the trace form and higher analogues of Gauss composition. Using these ideas a new proof for the Scholz reflection principle is given.