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2004 $\SL_3(\F_2)$-Extensions of $\Q$ and Arithmetic Cohomology Modulo 2
Avner Ash, David Pollack, Dayna Soares
Experiment. Math. 13(3): 297-307 (2004).

Abstract

We generate extensions of $\Q$ with Galois group $\SL_3(\F_2)$ giving rise to three-dimensional mod 2 Galois representations with sufficiently low level to allow the computational testing of a conjecture of Ash, Doud, Pollack, and Sinnott relating such representations to mod 2 arithmetic cohomology. We test the conjecture for these examples and offer a refinement of the conjecture that resolves ambiguities in the predicted weight.

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Avner Ash. David Pollack. Dayna Soares. "$\SL_3(\F_2)$-Extensions of $\Q$ and Arithmetic Cohomology Modulo 2." Experiment. Math. 13 (3) 297 - 307, 2004.

Information

Published: 2004
First available in Project Euclid: 22 December 2004

zbMATH: 1094.11019
MathSciNet: MR2103328

Subjects:
Primary: 11F80
Secondary: 11F75

Keywords: arithmetic groups , Cohomology , Galois representations , reciprocity laws , Serre's conjecture

Rights: Copyright © 2004 A K Peters, Ltd.

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Vol.13 • No. 3 • 2004
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