Hilbert–Speiser theorem
In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any finite abelian extension of Q, which by the Kronecker–Weber theorem are isomorphic to subfields of cyclotomic fields. Hilbert–Speiser Theorem. A finite abelian extension K/Q has a normal integral basis if and only if it is tamely ramified over Q. Cornelius Greither, Daniel R. Replogle, and Karl Rubin et al. () proved a converse to the Hilbert–Speiser theorem:
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Hilbert–Speiser theorem
In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any finite abelian extension of Q, which by the Kronecker–Weber theorem are isomorphic to subfields of cyclotomic fields. Hilbert–Speiser Theorem. A finite abelian extension K/Q has a normal integral basis if and only if it is tamely ramified over Q. Cornelius Greither, Daniel R. Replogle, and Karl Rubin et al. () proved a converse to the Hilbert–Speiser theorem:
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626,892,933
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Andreas Speiser
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corollary to proposition 8.1
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In mathematics, the Hilbert–Sp ...... o the Hilbert–Speiser theorem:
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Hilbert–Speiser theorem
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Théorème de Hilbert-Speiser
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