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Group extensions of Gibbs–Markov maps

✍ Scribed by Jon Aaronson; Manfred Denker


Publisher
Springer
Year
2002
Tongue
English
Weight
129 KB
Volume
123
Category
Article
ISSN
1432-2064

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On the norm maps of formal groups for -e
✍ Takeshi Kuriya 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 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 ∞ /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