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Deformations of locally abelian Galois representations and unramified extensions

✍ Scribed by Sachiko Ohtani

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
180 KB
Volume
120
Category
Article
ISSN
0022-314X

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✦ Synopsis

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.

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