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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2565550549> ?p ?o ?g. }

• W2565550549 abstract "Let $L/K$ be a Galois extension of local fields of characteristic $0$ with Galois group $G$. If $mathcal{F}$ is a formal group over the ring of integers in $K$, one can associate to $mathcal F$ and each positive integer $n$ a $G$-module $F_L^n$ which as a set is the $n$-th power of the maximal ideal of the ring of integers in $L$. We give explicit necessary and sufficient conditions under which $F_L^n$ is a cohomologically trivial $G$-module. This has applications to elliptic curves over local fields and to ray class groups of number fields." @default.
• W2565550549 created "2017-01-06" @default.
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• W2565550549 date "2016-12-14" @default.
• W2565550549 modified "2023-09-27" @default.
• W2565550549 title "On formal groups and Tate cohomology in local fields" @default.
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