Algebraic number fields with the discriminant equal to that of a quadratic number field
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Publication:1907744
DOI10.2969/jmsj/04710031zbMath0865.11074OpenAlexW2115492752MaRDI QIDQ1907744
Publication date: 13 July 1997
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/04710031
Galois theory (11R32) Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)
Related Items (20)
On the Galois group of generalized Laguerre polynomials ⋮ Squarefree values of polynomial discriminants. I ⋮ On Haagerup's list of potential principal graphs of subfactors ⋮ Galois realizations with inertia groups of order two ⋮ Constructing unramified extensions over quadratic fields ⋮ Splitting fields of \(X^n - X -1\) (particularly for \(n=5)\), prime decomposition and modular forms ⋮ Lower bounds for discriminants of polynomials ⋮ Construction of unramified extensions with a prescribed Galois group ⋮ On -unramified extensions over imaginary quadratic fields ⋮ On the Splitting Field of Some Polynomials with Class Number One ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ Intersective \(S_n\) polynomials with few irreducible factors ⋮ On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification ⋮ Theta series and number fields: theorems and experiments ⋮ Unramified extensions over low degree number fields ⋮ Construction of unramified extensions with a prescribed solvable Galois group ⋮ A construction of polynomials with squarefree discriminants ⋮ Remark on infinite unramified extensions of number fields with class number one ⋮ The integral trace form as a complete invariant for real \(S_n\) number fields ⋮ GALOIS GROUPS AND AN OBSTRUCTION TO PRINCIPAL GRAPHS OF SUBFACTORS
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