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Galois extensions with bounded ramification in characteristicp on a question of S. Abhyankar
Authors:Manohar L Madan  Martha Rzedowski-Calderón  Gabriel Villa-Salvador
Institution:(1) Department of Mathematics, Ohio State University, 231 West 18th. Avenue, 43210 Columbus, Ohio, USA;(2) Departamento de Matemáticas, CINVESTAV del I.P.N., Apartado Postal 14-740, 07000 México, D. F., Mexico
Abstract:Given an arbitrary congruence function fieldK of characteristicp and a finite groupG with a uniquep-Sylow subgroupp(G) which is abelian and for which the factor groupG/p(G) is nilpotent and hass generators, there exists a geometric Galois extensionL/K with Galois groupG in which preciselys prime divisors ofK are ramified.
Keywords:
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