ON THE MINIMUM ABSOLUTE VALUE OF THE DISCRIMINANT OF ABELIAN FIELDS OF DEGREE p2-Reference-Cited by-同舟云学术

ON THE MINIMUM ABSOLUTE VALUE OF THE DISCRIMINANT OF ABELIAN FIELDS OF DEGREE p2

Published:2010-10 Issue:05 Volume:09 Page:819-824
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

INTERLANDO J. CARMELO¹,LOPES JOSÉ OTHON DANTAS²,NETO TRAJANO PIRES DA NÓBREGA³,FLORES ANDRÉ LUIZ⁴

Affiliation:

1. Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, GMCS 415 San Diego, CA 92182-7720, USA

2. Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici, Bloco 914, 60455-760 Fortaleza, CE, Brazil

3. Departamento de Matemática, Universidade Estadual Paulista, Rua Cristóvão Colombo, 2265, 15054-000 São José do Rio Preto, SP, Brazil

4. Departamento de Matemática, Universidade Federal de Alagoas, Campus Arapiraca, 57309-005 Arapiraca, AL, Brazil

Abstract

Let p be a prime number. A formula for the minimum absolute value of the discriminant of all Abelian extensions of ℚ of degree p2is given in terms of p.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498810004257

Reference14 articles.

1. Tables of octic fields with a quartic subfield

2. Petits discriminants des corps de nombres totalement imaginaires de degré 8

3. Imprimitive ninth-degree number fields with small discriminants

4. Number Theory

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