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Results tagged with galois-cohomology
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user 43107
7
votes
Accepted
rationality question while dealing with an isogeny
The answer is negative (even under all of the given hypotheses); this expresses a standard difficulty in the arithmetic aspects of connected semisimple groups over local function fields in contrast wi …
- 1,623
11
votes
Accepted
Variant of Hilbert 90 for Galois extensions
This is an application of Artin's Lemma to reduce to Hilbert 90. Namely, let $K$ be any field at all, and $G$ any finite subgroup of ${\rm{Aut}}(K)$ (as noted in this comments, such finiteness holds …
- 1,623