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Abstract Let F be a number field, let N ≥ 3 be an integer, and let k be a finite field of characteristic ℓ. We show that if ρ:GF →… Click to show full abstract
Abstract Let F be a number field, let N ≥ 3 be an integer, and let k be a finite field of characteristic ℓ. We show that if ρ:GF → GLN(k) is a continuous representation with image of ρ containing SLN(k) then, under moderate conditions at primes dividing ℓ∞, there is a continuous representation ρ:GF → GLN(W(k)) unramified outside finitely many primes with ρ ~ρ mod ℓ. Stronger results are presented for ρ:Gℚ → GL3(k).
Keywords:
dimensional galois;
representations characteristic;
galois representations;
lifting dimensional;
characteristic zero
Journal Title: Glasgow Mathematical Journal
Year Published: 2018
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Journal Title: Glasgow Mathematical Journal
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!