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- Title
Locally indecomposable Galois representations with full residual image.
- Authors
Sharma, Devika
- Abstract
We consider certain -ordinary non-CM Hida families with full residual Galois representation and give mild conditions under which every arithmetic point in these families is locally indecomposable when . The proof uses methods from deformation theory and mostly works for any odd prime , but ultimately relies on the existence of a weight form in an auxiliary family which is available only for . We end by giving several non-trivial examples of -ordinary non-CM locally indecomposable modular forms of small level with full residual Galois representation.
- Subjects
GALOIS theory; ARITHMETIC; MATHEMATICAL formulas; MULTIPLICATION; PRIME numbers
- Publication
International Journal of Number Theory, 2017, Vol 13, Issue 5, p1191
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S1793042117500646