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math.NT2004
A_6-extensions of Q and the mod p cohomology of GL(3,Z)
Avner Ash, David Pollack, Warren Sinnott
We present six examples of 3-dimensional mod p Galois representations of type A_6 for which we were able to obtain computational evidence for the generalization of Serre's Conjectu…
math.NT1999★ 14 cited
An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the mod-p cohomology of GL(n,Z)
Avner Ash, Warren Sinnott
The conjecture of Serre referred in the title is the one about modularity of odd Galois representations into GL(2,F) where F is a finite field of characteristic p. We present an an…