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Deforming Galois Representations and the Conjectures of Serre and Fontaine-Mazur

✍ Scribed by Ravi Ramakrishna

Book ID
120059032
Publisher
John Hopkins University Press
Year
2002
Tongue
English
Weight
1011 KB
Volume
156
Category
Article
ISSN
0003-486X

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We study the deformation theory of Galois representations whose restriction to every decomposition subgroup is abelian. As an application, we construct unramified non-solvable extensions over the field obtained by adjoining all p-power roots of unity to the field of rational numbers.