Selmer groups of elliptic curves over the $PGL(2)$ extension

preprint2020arXivOpen access

Iwasawa theory of elliptic curves over noncommutative extensions has been a fruitful area of research. The central object of this paper is to use Iwasawa theory over the $GL(2)$ extension to study the dual Selmer group over the $PGL(2)$ extension.

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Selmer groups of elliptic curves over the $PGL(2)$ extension

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Selmer groups of elliptic curves over the PGL(2)PGL(2)PGL(2) extension

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Selmer groups of elliptic curves over the $PGL(2)$ extension