The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups
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Publication:6150391
DOI10.1016/j.jnt.2024.01.005arXiv2402.08512OpenAlexW4391953171MaRDI QIDQ6150391
Publication date: 6 March 2024
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2402.08512
Cites Work
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- A note on the group of units of an algebraic number field
- Representations of cyclic groups in rings of integers. I
- Some cases of the Fontaine-Mazur conjecture
- Some cases of the Fontaine-Mazur conjecture. II
- The theory of finite groups. An introduction.
- Unramified subextensions of ray class towers
- Explicit computation of Galois \(p\)-groups unramified at \(p\)
- Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers
- Powerfully solvable and powerfully simple groups
- Construction of maximal unramified \(p\)-extensions with prescribed Galois groups
- Some new evidence for the Fontaine-Mazur conjecture
- \(p\)-adic analytic groups
- Base change for Stark-type conjectures "over \mathbb{Z}"
- Analytic lie extensions of number fields with cyclic fixed points and tame ramification
- l-Erweiterungen mit vorgegebenen Verzweigungsstellen.
- On the \(\mathbb Z_l\)-rank of Abelian extensions with restricted ramification