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A Symplectic Case of Artin's Conjecture | | Kimball Martin
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10 Dec 2002 | | Subject: | Number Theory MSC-class: 11R42, 11R39 | math.NT | | Abstract: | Let K/F be an arbitrary Galois extension of number fields and r be a representation of Gal(K/F) into GSp(4,C). Let E_16 be the elemetary abelian group of order 16 and C_5 the cyclic group of order 5. If the image of r in the projective space PGSp(4,C) is isomorphic to the semidirect product of E_16 by C_5, then we show r satisfies Artin’s conjecture by proving r corresponds to an automorphic representation. A specific case is given where r is primitive, so Artin’s conjecture does not follow from previous results. | | Source: | arXiv, math.NT/0301093 | | Services: | Forum | Review | PDF | Favorites | |
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