Reciprocity Law for Compatible Systems of Abelian mod p Galois Representations
2005 ◽
Vol 57
(6)
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pp. 1215-1223
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AbstractThe main result of the paper is a reciprocity law which proves that compatible systems of semisimple, abelianmod p representations (of arbitrary dimension) of absolute Galois groups of number fields, arise from Hecke characters. In the last section analogs for Galois groups of function fields of these results are explored, and a question is raised whose answer seems to require developments in transcendence theory in characteristic p.
An arithmetic proof of Pop`s Theorem concerning Galois groups of function fields over number fields.
1996 ◽
Vol 1996
(478)
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pp. 107-126
2017 ◽
Vol 153
(7)
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pp. 1372-1390
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2009 ◽
Vol 05
(05)
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pp. 779-795
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1977 ◽
Vol 5
(1)
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pp. 17-82
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1991 ◽
Vol 1991
(416)
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pp. 187-194
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2010 ◽
Vol 88
(3)
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pp. 301-312
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