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On the defining polynomials of maximal real cyclotomic extensions

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Aranes, Maria Teresa and Arenas, A.. (2008) On the defining polynomials of maximal real cyclotomic extensions. Real Academia de Ciencias Exactas, Fisicas y Naturales. Revista. Serie A, Matematicas, Vol.102 (No.2). pp. 183-191. ISSN 1578-7303

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Abstract

The aim of this paper is to show that the simplest techniques of linear algebra allow us to make explicit the defining equations of the maximal real cyclotomic extensions Q(zeta + zeta(-1)) of Q(zeta), where zeta stands for a primitive p(nu)-th rooot of unity with p a rational prime and nu any positive integer.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Polynomials, Cyclotomic fields
Journal or Publication Title: Real Academia de Ciencias Exactas, Fisicas y Naturales. Revista. Serie A, Matematicas
Publisher: Springer Italia Srl
ISSN: 1578-7303
Date: 2008
Volume: Vol.102
Number: No.2
Number of Pages: 9
Page Range: pp. 183-191
Status: Not Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Grant number: MTM 2006-04895
URI: http://wrap.warwick.ac.uk/id/eprint/28958

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