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Darrin Doud

214 TMCB Department of Mathematics Brigham Young University Provo, UT 84602

phone: (801)422-1204 fax: (801)422-0504 e-mail:

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Distinguishing contragredient Galois representations in characteristic two

Rocky Mountain Journal of Mathematics 38:3 (2008), 835-848.

Abstract: Recently, Ash, Pollack and Soares described Galois representations with image isomorphic to SL(3,2), and demonstrated computationally that these representations seem to be attached to arithmetic cohomology classes with predictable coefficient modules. However, in certain cases, they did not distinguish between two contragredient representations for which the predicted coefficient modules are different. In this paper, we distinguish between these representations, and compare the results with arithmetic cohomology calculations to give additional evidence for a conjecture relating Galois representations to arithmetic cohomology.

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