The purpose of this paper is to provide new examples supporting a conjecture of Ash, Doud, and Pollack. This conjecture involves Galois representations taking Gal(Q bar/Q) to the general linear group of 3 x 3 matrices in characterisic 2, and our examples are where complex conjugation is mapped to the identity. Since this case has not yet been examined, the results of this paper are quite significant.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
de Melo, Heather Aurora Florence, "Totally Real Galois Representations in Characteristic 2 and Arithmetic Cohomology" (2005). Theses and Dissertations. 677.
Serre, conjecture, Galois representations, Ash, Doud, Pollack, computation