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

Ján Minác; John Swallow

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

Ján Minác·John Swallow

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Abstract

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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Ján Minác, John Swallow. 2002-02-21. Galois Module Structure of $p$th-Power Classes of Extensions of Degree p. https://arxiv.org/abs/math/0202224

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