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Artin–Schreier extensions and Galois module structure

✍ Scribed by Akira Aiba

Book ID
108346524
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
123 KB
Volume
102
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

Galois Module Structure of Jacobians in
Galois Module Structure of Jacobians in Unramified Extensions
✍ Martha Rzedowski-Calderón; Gabriel Villa-Salvador 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 102 KB

For a finite unramified Galois -extension of function fields over an algebraically closed field of characteristic different from , we find the Galois module structure of the elements of the Jacobian whose orders are powers of .

Integral Galois Module Structure of Some
Integral Galois Module Structure of Some Lubin–Tate Extensions
✍ Nigel P. Byott 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 259 KB

Let K be a finite extension of Q p , and suppose that KÂQ p is ramified and that the residue field of K has cardinality at least 3. Let K (2) be the second division field of K with respect to a Lubin Tate formal group, and let 1 =Gal(K (2) ÂK). We determine the associated order in K1 of the valuatio