Algebraic function fields with equal class number
James Leitzel, Manohar Madan (1976)
Acta Arithmetica
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James Leitzel, Manohar Madan (1976)
Acta Arithmetica
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Paul Ponomarev (1976)
Acta Arithmetica
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R. Parimala, V. Suresh (1998)
Publications Mathématiques de l'IHÉS
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Manohar Madan, Clifford Queen (1972)
Acta Arithmetica
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Luis Arenas-Carmona (2003)
Annales de l'Institut Fourier
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We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.
A. Baker, Andrzej Schinzel (1971)
Acta Arithmetica
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M. Kula (1981)
Acta Arithmetica
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Ken Yamamura (2001)
Journal de théorie des nombres de Bordeaux
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In the previous paper [15], we determined the structure of the Galois groups of the maximal unramified extensions of imaginary quadratic number fields of conductors under the Generalized Riemann Hypothesis (GRH) except for 23 fields (these are of conductors ) and give a table of . We update the table (under GRH). For 19 exceptional fields of them, we determine . In particular, for , we obtain , the fourth Hilbert class field of . This is the first example of a number...
A. Schinzel (1983)
Studia Mathematica
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