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Título: Iwasawa Theory, Projective Modules, And Modular Representations | |
| Autor: Greenberg, Ralph | Precio: $1079.00 | |
| Editorial: American Mathematical Society | Año: 2011 | |
| Tema: | Edición: 1ª | |
| Sinopsis | ISBN: 9780821849316 | |
| This paper shows that properties of projective modules over a group ring $\mathbf{Z}_p[\Delta]$, where $\Delta$ is a finite Galois group, can be used to study the behavior of certain invariants which occur naturally in Iwasawa theory for an elliptic curve $E$. Modular representation theory for the group $\Delta$ plays a crucial role in this study. It is necessary to make a certain assumption about the vanishing of a $\mu$-invariant. The author then studies $\lambda$-invariants $\lambda_E(\sigma)$, where $\sigma$ varies over the absolutely irreducible representations of $\Delta$. He shows that there are non-trivial relationships between these invariants under certain hypotheses. | ||
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