Some additive galois cohomology rings

Details Some additive galois cohomology rings Some additive galois cohomology rings

2001-02-06

arxiv.org/abs/math/0102048v6

Mathematics

Number Theory

Misprint in Th. 1.19 corrected

Scientific paper

Let p be an odd prime. We consider the cyclotomic extension T := Z_(p)[zeta_{p^2}] of S := Z_(p), with galois group G := (Z/p^2)^*. Since this extension is wildly ramified, the SG-module T is not projective. We calculate its cohomology ring H^*(G, T; S), carrying the cup product induced by the ring structure of T. Proceeding in a somewhat greater generality, our results also apply to certain Lubin-Tate extensions.

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