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Download PDFAbstract: We say a tame Galois field extension $L/K$ with Galois group $G$ has trivialGalois module structure if the rings of integers have the property that$Cal{O}_{L}$ is a free $Cal{O}_{K}[G]$-module. The work of Greither,Replogle, Rubin, and Srivastav shows that for each algebraic number field otherthan the rational numbers there will exist infinitely many primes $l$ so thatfor each there is a tame Galois field extension of degree $l$ so that $L/K$ hasnontrivial Galois module structure. However, the proof does not directly yieldspecific primes $l$ for a given algebraic number field $K.$ For $K$ anycyclotomic field we find an explicit $l$ so that there is a tame degree $l$extension $L/K$ with nontrivial Galois module structure.
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From: Marc Conrad [view email]
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Which authors of this paper are endorsers? Disable MathJax (What is MathJax?) Browse v0.2.7 released 2019-12-16
...'>Conrad Modellbau Katalog Pdf Download(17.03.2020)Download w4 wa gba kontrol. Wale adepoju, popularly known as “ Mr Wonda” finally returned to the entertainment centre stage.
What about the Conrad News? We are about to relaunch our website – stay tuned! Very soon we are going to present our models in a new look. MyHobby24 - Ihr Modellbau Shop - Modellbau - Modellbahn - Modelleisenbahn - Modelleisenbahn Modellbahn - Eisenbahnen - Modellauto - Modelleisenbahn - Modellbahnen - Modellflugzeuge - Modellbahn Shop - Spur H0 - Spur N - Spur G - US Train - American Train. Kataloge zum Download. Walthers Dokumente als pdf.Downloads.
Download PDFAbstract: We say a tame Galois field extension $L/K$ with Galois group $G$ has trivialGalois module structure if the rings of integers have the property that$Cal{O}_{L}$ is a free $Cal{O}_{K}[G]$-module. The work of Greither,Replogle, Rubin, and Srivastav shows that for each algebraic number field otherthan the rational numbers there will exist infinitely many primes $l$ so thatfor each there is a tame Galois field extension of degree $l$ so that $L/K$ hasnontrivial Galois module structure. However, the proof does not directly yieldspecific primes $l$ for a given algebraic number field $K.$ For $K$ anycyclotomic field we find an explicit $l$ so that there is a tame degree $l$extension $L/K$ with nontrivial Galois module structure.
Submission history
From: Marc Conrad [view email][v1]Thu, 17 Jan 2002 00:00:00 UTC (17 KB)Full-text links:
Download:
Current browse context:
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References & Citations
Which authors of this paper are endorsers? Disable MathJax (What is MathJax?) Browse v0.2.7 released 2019-12-16
...'>Conrad Modellbau Katalog Pdf Download(17.03.2020)