Galois extensions with bounded ramification in characteristicp on a question of S. Abhyankar |
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Authors: | Manohar L Madan Martha Rzedowski-Calderón Gabriel Villa-Salvador |
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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 |
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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. |
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