Displaying similar documents to “Galois representations of Iwasawa modules”

Galois module structure of generalized jacobians.

G. D. Villa-Salvador, M. Rzedowski-Calderón (1997)

Revista Matemática de la Universidad Complutense de Madrid

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For a prime number l and for a finite Galois l-extension of function fields L / K over an algebraically closed field of characteristic p <> l, it is obtained the Galois module structure of the generalized Jacobian associated to L, l and the ramified prime divisors. In the cyclic case an implicit integral representation of the Jacobian is obtained and this representation is compared with the explicit representation.

Galois module structure of ideals in wildly ramified cyclic extensions of degree p 2

Gove Griffith Elder (1995)

Annales de l'institut Fourier

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For L / K , any totally ramified cyclic extension of degree p 2 of local fields which are finite extensions of the field of p -adic numbers, we describe the ℤ p [ Gal ( L / K ) ] -module structure of each fractional ideal of L explicitly in terms of the 4 p + 1 indecomposable ℤ p [ Gal ( L / K ) ] -modules classified by Heller and Reiner. The exponents are determined only by the invariants of ramification.

Dual dimension of modules over normalizing extensions.

Ahmad Shamsuddin (1993)

Publicacions Matemàtiques

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Let S = Σ Ra be a finite normalizing extension of R and suppose that M is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(M) ≤ n · crk(M) if either M is artinian or the group homomorphism M → aM given by x → ax is an isomorphism.