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Galois module structure of non-Kummer extensions

✍ Scribed by Shih-Ping Chan

Publisher
Springer
Year
1998
Tongue
English
Weight
153 KB
Volume
70
Category
Article
ISSN
0003-889X

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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