Ján Minác, John Swallow: Galois Module Structure of $p$th-Power Classes of Extensions of Degree $p$

minac@uwo.ca, joswallow@davidson.edu

Submission: 2002, Feb 12

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 $p$.

2000 Mathematics Subject Classification:

Keywords and Phrases:

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