✦ LIBER ✦
The Nonexistence of Certain Galois Extensions Unramified Outside 5
✍ Scribed by Sharon Brueggeman
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 97 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Communicated by J. Tate
Let \ be a two-dimensional semisimple odd representation of Gal(Q ÂQ) 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 Ä / b 5 , where a+b is odd.