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On the norm maps of formal groups for -extensions

✍ Scribed by Takeshi Kuriya

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 320 KB
Volume: 113
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.08.010

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✦ Synopsis

Let K be a finite extension of Q p and F (X, Y ) be a formal group defined over O K where O K is the ring of integers of K. For an arbitrary Z p -extensions K ∞ /K and the nth layer K n , we study the index [F (K n-1 ) :

We give the asymptotic behavior of the index as n → ∞, and determine the index in several cases.

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