THE INTEGRAL TRACE FORM OF CYCLIC EXTENSIONS OF ODD PRIME DEGREE

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Data

2017-01-01

Autores

De Oliveira, Everton Luiz
Carmelo Interlando, J.
Da Nobrega Neto, Trajano Pires [UNESP]
Dantas Lopes, Jose Othon

Título da Revista

ISSN da Revista

Título de Volume

Editor

Rocky Mt Math Consortium

Resumo

Let L/Q be a cyclic extension of degree p, where p is an odd unramified prime in L/Q. An explicit description of the integral trace form Tr-L/Q(x(2))|O-L, where O-L is the ring of algebraic integers of L, is given, and an application to finding the minima of certain algebraic lattices is presented.

Descrição

Palavras-chave

Cyclotomic fields, cyclic extensions, Galois module theory, integral trace forms, lattice packings

Como citar

Rocky Mountain Journal Of Mathematics. Tempe: Rocky Mt Math Consortium, v. 47, n. 4, p. 1075-1088, 2017.