Tame kernels of quintic cyclic fields
Xia Wu (2008)
Acta Arithmetica
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Xia Wu (2008)
Acta Arithmetica
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C. Greither, R. Kučera (2004)
Acta Arithmetica
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Haiyan Zhou (2009)
Acta Arithmetica
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R.G. Douglas, S. Hurder, J. Kaminker (1991)
Inventiones mathematicae
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Haiyan Zhou (2006)
Acta Arithmetica
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Yuka Kotorii (2014)
Fundamenta Mathematicae
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We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
Kurt Girstmair (1993)
Acta Arithmetica
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Toru Nakahara (1982)
Monatshefte für Mathematik
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Stéphane Louboutin (1998)
Colloquium Mathematicae
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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.
Maria Jankiewicz (1974)
Applicationes Mathematicae
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David J. Grynkiewicz (2006)
Acta Arithmetica
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Mária Guregová, Alexander Rosa (1968)
Matematický časopis
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Frank Gerth (1991)
Manuscripta mathematica
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Edjvet, Martin, Hammond, Paul, Thomas, Nathan (2001)
Experimental Mathematics
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