Abstract
The Iwasawa algebra, usually denoted by the Greek letter Λ, is the complete group algebra \(\mathbb{Z}_{p} [\Gamma ]\) of a group Γ, which is noncanonically isomorphic to \(\mathbb{Z}_{p}\). This means that we will not specify a particular isomorphism \(\phi : \Gamma \stackrel{\sim}{\rightarrow} \mathbb{Z}_{p}\) or, equivalently, we will not fix a topological generator γ of the procyclic group Γ.
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© 2008 Springer-Verlag Berlin Heidelberg
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Neukirch, J., Schmidt, A., Wingberg, K. (2008). Iwasawa Modules. In: Cohomology of Number Fields. Grundlehren der mathematischen Wissenschaften, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37889-1_5
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DOI: https://doi.org/10.1007/978-3-540-37889-1_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37888-4
Online ISBN: 978-3-540-37889-1
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