Computation of Hilbert sequence for composite quadratic extensions using different type of primes in .

Haghighi, M.; Miller, J.

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Hilbert-symbol equivalence of global function fields

Alfred Czogała (2001)

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On integral Witt equivalence of algebraic number fields

Alfred Czogała (1996)

Acta Mathematica et Informatica Universitatis Ostraviensis

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On the Hilbert $2$ -class field tower of some abelian $2$ -extensions over the field of rational numbers

Abdelmalek Azizi, Ali Mouhib (2013)

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It is well known by results of Golod and Shafarevich that the Hilbert $2$ -class field tower of any real quadratic number field, in which the discriminant is not a sum of two squares and divisible by eight primes, is infinite. The aim of this article is to extend this result to any real abelian $2$ -extension over the field of rational numbers. So using genus theory, units of biquadratic number fields and norm residue symbol, we prove that for every real abelian $2$ -extension over $ℚ$ in which...

Solution of small class number problems for cyclotomic fields

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John Myron Masley (1978)

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Displaying similar documents to “Computation of Hilbert sequence for composite quadratic extensions using different type of primes in ℚ .”

Hilbert-symbol equivalence of global function fields

On integral Witt equivalence of algebraic number fields

On the Hilbert 2 -class field tower of some abelian 2 -extensions over the field of rational numbers

Solution of small class number problems for cyclotomic fields

Class numbers of real cyclic number fields with small conductor

Displaying similar documents to “Computation of Hilbert sequence for composite quadratic extensions using different type of primes in $ℚ$ .”

On the Hilbert $2$ -class field tower of some abelian $2$ -extensions over the field of rational numbers