Iwasawa Theory, Projective Modules, and Modular Representations (eBook)

Ralph Greenberg (Autor)

eBook Download: PDF

185 Seiten
American Mathematical Society (Verlag)
978-1-4704-0609-7 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-0609-8 / 1470406098
• ISBN-13: 978-1-4704-0609-7 / 9781470406097