Abstract
A basis for the Stickelberger ideal is constructed, along with a system of independent units that, together with-ζ, where ζ=exp(2πi/m), m ≥2, m ≠ 2 (mod 4), generate the group of circular units of the field Q(ζ). As an application, it is possible to obtain a representation for the first and second factors of a number of classes of divisors of the field Q(ζ) in the form of determinants.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 175, pp. 69–74, 1989.
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Kučera, R. A basis for the Stickelberger ideal and the system of circular units of a cyclotomic field. J Math Sci 57, 3485–3489 (1991). https://doi.org/10.1007/BF01100117
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DOI: https://doi.org/10.1007/BF01100117