JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 2, Pages 381 - 398
(August 2006)
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EXPLICIT FROBENIUS CALCULATIONS SUPPORTING A GENERALIZATION OF A CONJECTURE OF SERRE
Darrin Doud (U. S. A.) and Brian Hansen (U. S. A.)
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Abstract: In this paper we describe calculations which distinguish between two possibilities for Galois representations in examples given by Ash et al. [Duke Math. J. 112(3) (2002), 521-579] of a generalization of a conjecture of Serre. Our calculations allow us to strengthen the evidence for this conjecture. |
Keywords and phrases: Galois representations, cohomology, reciprocity laws. |
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