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

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

2002-02-21

arxiv.org/abs/math/0202224v1

Israel J. Math. 138 (2003), 29--42

Mathematics

Number Theory

Scientific paper

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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