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Results tagged with iwasawa-theory
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user 123226
1
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The Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\s...
I'm now on a research about the Iwasawa $\lambda$-invariants of the cyclotomic $\mathbb{Z}_p$-extensions of number fields. And it happens that the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\s …
- 1,013
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A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"
First of all, I realized that I had made a big mistake. The Galois extension $k_{n}/k^{+}$ is abelian (since it is a composite of $k/k^{+}$ and $\mathbb{B}_{m}/\mathbb{Q}$ for some m.) hence the compl …
- 1,013
2
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1
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359
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A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"
I'm currently reading the paper "On a Certain l-Adic Reprersentation" written by Ralph Greenberg.(Inventiones 1973) And I'm stuck with a proof of the Proposition 2.
Here $k$ is a totally imaginary ab …
- 1,013
1
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201
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references on group representation over local fields / a question on an argument of a Ralph ...
I'm currently studying Iwasawa theory.
1) There are many $\mathbb{Z}_p$-modules on which some Galois groups act.
So I often face some facts on the group representation over local fields or p-adic int …
- 1,013