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arxiv: 0706.0417 · v1 · pith:OIRBUD73new · submitted 2007-06-04 · 🧮 math.NT

On the kernel of the norm in some unramified number fields extensions

classification 🧮 math.NT
keywords extensionsnumberabeliancohomologydeterminefieldfieldsgroup
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We determine the -1 Tate cohomology group of the units for principal abelian extensions of type (p^a, p^b) of a number field.

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