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On the \(p\)-part of the ideal class group of \(\mathbb{Q} (\zeta_ p + \zeta_ p^{-1})\) and Vandiver's conjecture

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Publication:1907019
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DOI10.1307/mmj/1029005231zbMath0844.11069OpenAlexW1993224651WikidataQ123200987 ScholiaQ123200987MaRDI QIDQ1907019

Francisco Thaine

Publication date: 20 February 1996

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005231

zbMATH Keywords

indexprimitive rootunit groupideal class groupGaussian periodsVandiver's conjecturecircular unitsreal abelian fieldannihilators of the \(p\)-class group


Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)


Related Items

On the coefficients of Jacobi sums in prime cyclotomic fields, New criteria for Vandiver's conjecture using Gauss sums -- heuristics and numerical experiments, Properties that characterize Gaussian periods and cyclotomic numbers



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