Kuroda's class number relation
C. Walter (1979)
Acta Arithmetica
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C. Walter (1979)
Acta Arithmetica
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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.
Kenkichi Iwasawa (1972)
Acta Arithmetica
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Joseph Carroll, H. Kisilevsky (1981)
Acta Arithmetica
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Marius Van der Put (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Stephen M. J. Wilson (1980)
Annales de l'institut Fourier
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Considering the ring of integers in a number field as a -module (where is a galois group of the field), one hoped to prove useful theorems about the extension of this module to a module or a lattice over a maximal order. In this paper it is show that it could be difficult to obtain, in this way, parameters which are independent of the choice of the maximal order. Several lemmas about twisted group rings are required in the proof.
Jan Brinkhuis (1994)
Compositio Mathematica
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