The integral trace form of cyclic extensions of odd prime degree

DOI10.1216/RMJ-2017-47-4-1075zbMath1426.11125OpenAlexW2743941686MaRDI QIDQ2409588

Trajano Pires da Nóbrega Neto, Everton Luiz de Oliveira, J. Carmelo Interlando, José Othon Dantas Lopes

Publication date: 12 October 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1501984940

zbMATH Keywords

lattice packingscyclotomic fieldscyclic extensionsintegral trace formsGalois module theory

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Lattice packing and covering (number-theoretic aspects) (11H31) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Minima of forms (11H50)

Related Items (8)

Integral trace form of extensions of degree pq ⋮ Unnamed Item ⋮ New p-dimensional lattices from cyclic extensions ⋮ Trace form associated to cyclic number fields of ramified odd prime degree ⋮ Constructions of full diversity \(D_n\)-lattices for all \(n\) ⋮ Well-rounded algebraic lattices in odd prime dimension ⋮ Lattices from abelian extensions and error-correcting codes ⋮ Constructions of Dense Lattices of Full Diversity

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