Hilbert-symbol equivalence of global function fields
Alfred Czogała (2001)
Mathematica Slovaca
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Displaying similar documents to “Computation of Hilbert sequence for composite quadratic extensions using different type of primes in .”
Hilbert-symbol equivalence of global function fields
On integral Witt equivalence of algebraic number fields
Alfred Czogała (1996)
Acta Mathematica et Informatica Universitatis Ostraviensis
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On the Hilbert -class field tower of some abelian -extensions over the field of rational numbers
Abdelmalek Azizi, Ali Mouhib (2013)
Czechoslovak Mathematical Journal
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It is well known by results of Golod and Shafarevich that the Hilbert -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 -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 -extension over in which...
Solution of small class number problems for cyclotomic fields
John Myron Masley (1976)
Compositio Mathematica
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Class numbers of real cyclic number fields with small conductor
John Myron Masley (1978)
Compositio Mathematica
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On normal integral bases in ray class fields over imaginary quadratic fields
Cornelius Greither (1997)
Acta Arithmetica
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