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HOPF–GALOIS STRUCTURES ON FIELD EXTENSIONS WITH SIMPLE GALOIS GROUPS

Published online by Cambridge University Press:  23 December 2003

NIGEL P. BYOTT
NIGEL P. BYOTT
Affiliation:
Department of Mathematical Sciences, University of Exeter, Exeter EX4 4QE N.P.Byott@ex.ac.uk
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Abstract

Let $L/K$ be a finite Galois extension of fields whose Galois group is a nonabelian simple group. It is shown that $L/K$ admits exactly two Hopf–Galois structures.

Keywords

12F1016W30
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 1 , January 2004 , pp. 23 - 29
Copyright
© The London Mathematical Society 2004

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