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The commutativity of the Galois groups of the maximal unramified pro-p-extensions over the cyclotomic -extensions

✍ Scribed by Keiji Okano


Book ID
113731087
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
212 KB
Volume
132
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


The Nonexistence of Certain Galois Exten
✍ Sharon Brueggeman πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 97 KB

## 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.