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- Jürgen Ritter
- 1997

Let K/k be a finite Galois extension of number fields with Galois group G, and let S be a finite G-stable set of primes of K containing all archimedean primes. We denote the G-module of S-units of K by E = ES and let ∆S be the kernel of the augmentation map ZS → Z which sends each basis element p ∈ S to 1. We are concerned with invariants of K/k which are… (More)

Let K be a local field, T the maximal tamely ramified extension of K, F the fixed field in Ks of the Frattini subgroup of G(K), and J the compositum of all minimal Galois extensions of K containing T . The main result of the paper is that F = J . If K is a global field and Ksolv is the maximal prosolvable extension of K, then the Frattini group of… (More)

- Jürgen Ritter
- 2008

The paper starts out from pseudomeasures (in the sense of Serre) which hold the arithmetic properties of the abelian l-adic Artin L-functions over totally real number fields. In order to generalize to non-abelian l-adic L-functions, these abelian pseudomeasures must satisfy congruences which are introduced but not yet known to be true. The relation to the… (More)

- Martin J. Edelman, X. Y. Wang, +15 authors Everett E. Vokes
- International journal of radiation oncology…
- 2017

Heterogeneity and Variation in Resistance Mechanisms Among 223 Epidermal Growth Factor ReceptoreMutant NoneSmall Cell Lung Cancer Patients With > 1 Post-Resistance Biopsy Z. Piotrowska, K. Stirling, R. Heist, M. Campo, C. Rizzo, S.R. Digumarthy, M. Lanuti, F.J. Fintelmann, I. Lennes, A. Farago, J. Gainor, C.G. Azzoli, J. Temel, M. Mino-Kenudson, D.… (More)

The equivariant main conjecture of Iwasawa theory is shown to hold for a Galois extension K/k of totally real number fields with Galois group an l-adic pro-l Lie group of dimension 1 containing an abelian subgroup of index l, provided that Iwasawa’s μ-invariant μ(K/k) vanishes. 2000 Mathematics Subject Classification: 11R23, 11R32, 11R42

- Jürgen Ritter
- 2008

The interest in doing so comes from recent work in Iwasawa theory in which refined ‘main conjectures’ are formulated in terms of the K-theory of completed group algebras Zl[[G]] with G an l-adic Lie group (see [FK], [RW2]). For l-adic Lie groups of dimension 1, use of the integral logarithm L has reduced the ‘main conjecture’ to questions of the existence… (More)

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