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The Hasse Norm Theorem for Non-Cyclic Extensions of the Rationals

โœ Scribed by Garbanati, D. A.


Book ID
120101253
Publisher
Oxford University Press
Year
1978
Tongue
English
Weight
500 KB
Volume
s3-37
Category
Article
ISSN
0024-6115

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On the norm maps of formal groups for -e
โœ Takeshi Kuriya ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

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 โˆž /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 โ†’ โˆž, and determine the index