$\SL_3(\F_2)$-Extensions of $\Q$ and Arithmetic Cohomology Modulo 2
Ash, Avner ; Pollack, David ; Soares, Dayna
Experiment. Math., Tome 13 (2004) no. 1, p. 297-307 / Harvested from Project Euclid
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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.
Publié le : 2004-05-14
Classification:  Galois representations,  arithmetic groups,  cohomology,  reciprocity laws,  Serre's conjecture,  11F80,  11F75 
@article{1103749838,
     author = {Ash, Avner and Pollack, David and Soares, Dayna},
     title = {$\SL\_3(\F\_2)$-Extensions of $\Q$ and Arithmetic Cohomology Modulo 2},
     journal = {Experiment. Math.},
     volume = {13},
     number = {1},
     year = {2004},
     pages = { 297-307},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1103749838}
}

Ash, Avner; Pollack, David; Soares, Dayna. $\SL_3(\F_2)$-Extensions of $\Q$ and Arithmetic Cohomology Modulo 2. Experiment. Math., Tome 13 (2004) no. 1, pp.  297-307. http://gdmltest.u-ga.fr/item/1103749838/