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On unramified Galois extensions constructed using Galois representations

✍ Scribed by Hiroyuki Hasebe

Book ID
105924377
Publisher
Springer
Year
2002
Tongue
English
Weight
94 KB
Volume
109
Category
Article
ISSN
0025-2611

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## Communicated by J. Tate Let \ be a two-dimensional semisimple odd representation of Gal(Q Γ‚Q) over a finite field of characteristic 5 which is unramified outside 5. Assuming the GRH, we show in accordance with a conjecture by Serre that \=/ a 5 Γ„ / b 5 , where a+b is odd.