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Iwasawa Theory, Projective Modules, and Modular Representations (Memoirs of the American Mathematical Society)

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Description

Product Description 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. About the Author Ralph Greenberg, University of Washington, Seattle, WA

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 April 2011
Listed Since
21 February 2011

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