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

Ján Minác, John Swallow

Published 2002-02-21Version 1

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.

Journal: Israel J. Math. 138 (2003), 29--42
Categories: math.NT
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