Constructing Galois representations ramified at one prime
نویسندگان
چکیده
Let n>1, e?0 and a prime number p?2n+2+2e+3, such that the index of regularity p is ?e. We show there are infinitely many irreducible Galois representations ?:Gal(Q¯/Q)?GLn(Qp) unramified at all primes l?p. Furthermore, these shown to have image containing fixed finite subgroup SLn(Zp). Such constructed by lifting suitable residual ?¯ with in diagonal torus GLn(Fp), for which global deformation problem unobstructed.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2020.12.005