Analogue of Kida's formula for certain strongly admissible extensions

✍ Scribed by Amala Bhave

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 244 KB
• Volume: 122
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2006.02.008

✦ Synopsis

We study the Iwasawa theory of elliptic curves over certain infinite (non-commutative) p-adic Galois-Lie extensions. In particular, we consider the analogue of the classical Iwasawa λ-invariant and Kida's formula for the dual Selmer group.