THE DISCRIMINANT OF ABELIAN NUMBER FIELDS

DOI10.1142/S0219498806001636zbMath1151.11056OpenAlexW2047372575MaRDI QIDQ3379463

José Othon Dantas Lopes, Trajano Pires da Nóbrega Neto, J. Carmelo Interlando

Publication date: 6 April 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498806001636

zbMATH Keywords

charactersconductorscyclotomic fieldsdiscriminants of Abelian number fieldsHasse theorem

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (8)

Integral trace form of extensions of degree pq ⋮ SOME RESULTS ABOUT THE DISCRIMINANT OF ABELIAN NUMBER FIELDS ⋮ Constructions of rotated lattice constellations in dimensions power of 3 ⋮ Trace form associated to cyclic number fields of ramified odd prime degree ⋮ Unnamed Item ⋮ Constructions of Dense Lattices over Number Fields ⋮ ON THE MINIMUM ABSOLUTE VALUE OF THE DISCRIMINANT OF ABELIAN FIELDS OF DEGREE p² ⋮ Algebraic constructions of rotated unimodular lattices and direct sum of Barnes–Wall lattices

Cites Work

• THE DISCRIMINANT OF SUBFIELDS OF ℚ(ζ_2^r)
• Advanced Topics in Computional Number Theory

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