Irreducible polynomials which are locally reducible everywhere

DOI10.1090/S0002-9939-05-07855-XzbMath1134.11040MaRDI QIDQ5461333

Murray M. Schacher, Jack Sonn, Robert M. Guralnick

Publication date: 26 July 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Chebotarev's density theoremFrobenius automorphismGlobal fieldHilbert's irreducibility theorem.Irreducible polynomial (over a field)Reducibility modulo an ideal

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Galois cohomology (11S25) Galois cohomology (12G05) Polynomials (irreducibility, etc.) (11R09) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

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