Automatic realization of Galois groups with cyclic quotient of order \(p^n\)
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Publication:1011963
DOI10.5802/jtnb.635zbMath1180.12002arXivmath/0603594OpenAlexW1994857491MaRDI QIDQ1011963
Andrew Schultz, Mináč, Ján, John R. Swallow
Publication date: 14 April 2009
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603594
Related Items
Construction of unipotent Galois extensions and Massey products ⋮ Induced orthogonal representations of Galois groups ⋮ On the indecomposability of a remarkable new family of modules appearing in Galois theory ⋮ Galois module structure of square power classes for biquadratic extensions ⋮ Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ $p$-groups have unbounded realization multiplicity ⋮ Relations in the maximal pro-𝑝 quotients of absolute Galois groups ⋮ Extensions of unipotent groups, Massey products and Galois theory ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\)
Cites Work
- Generic Galois extensions and problems in field theory
- Galois module structure of \(p\)th-power classes of extensions of degree \(p\)
- Galois embedding problems with cyclic quotient of order \(p\)
- Brauer type embedding problems
- Groups of order 16 as Galois groups
- GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE pn
- The Normal Closures of Certain Kummer Extensions
- Automatic realizability of Galois groups of order 16
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