Large images of reducible Galois representations

• Aftab Pande ^[1]
  1. [1] Universidade Federal do Rio de Janeiro

     Universidade Federal do Rio de Janeiro

     Brasil

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 2, 2017, págs. 245-251
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • Given a reducible Galois representation ¯¯ρ:GQ→GL(Fq) we show that there exists an irreducible deformation ρ:G→GL2(W[[T1,T…,Tr,]) of ¯¯¯ ramified at infinitely many primes, where W denotes the ring of Witt vectors of Fq. This is a modification of Ramakrishna's result for the irreducible case.