Galois Module Structure of $p$th-Power Classes of Extensions of Degree p

J\'an Min\'ac; John Swallow

arxiv: math/0202224 · v1 · submitted 2002-02-21 · 🧮 math.NT

Galois Module Structure of pth-Power Classes of Extensions of Degree p

J\'an Min\'ac , John Swallow This is my paper

classification 🧮 math.NT

keywords classesdegreeextensionsgaloismodulestructureth-powercharacteristic

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For fields F of characteristic not p containing a primitive $p$th root of unity, we determine the Galois module structure of the group of $p$th-power classes of K for all cyclic extensions K/F of degree p.

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Galois Module Structure of pth-Power Classes of Extensions of Degree p

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