1 results
ON THE SELMER GROUP OF A CERTAIN
$p$-ADIC LIE EXTENSION
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 100 / Issue 2 / October 2019
- Published online by Cambridge University Press:
- 27 February 2019, pp. 245-255
- Print publication:
- October 2019
-
- Article
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- You have access
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Let
$E$ be an elliptic curve over 
$\mathbb{Q}$ without complex multiplication. Let 
$p\geq 5$ be a prime in 
$\mathbb{Q}$ and suppose that 
$E$ has good ordinary reduction at 
$p$. We study the dual Selmer group of 
$E$ over the compositum of the 
$\text{GL}_{2}$ extension and the anticyclotomic 
$\mathbb{Z}_{p}$-extension of an imaginary quadratic extension as an Iwasawa module.
