Tame kernels of quintic cyclic fields
Xia Wu (2008)
Acta Arithmetica
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Displaying similar documents to “Representation fields for cyclic orders”
Tame kernels of quintic cyclic fields
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Stéphane Louboutin (1998)
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It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic sextic fields with class numbers equal to their genus class numbers.
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Totally indefinite Euclidean quaternion fields
Jean-Paul Cerri, Jérôme Chaubert, Pierre Lezowski (2014)
Acta Arithmetica
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We study the Euclidean property for totally indefinite quaternion fields. In particular, we establish a complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic.
Orders, in non-Eichler (R)-algebras over global function fields, having the cancellation property.
Marleen Denert (1989)
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Quantization of Fermions in External Soliton Fields and Index Calculation
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