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Automorphism scheme of a finite field extension
Author(s):
Pedro
J. Sancho
de Salas
Journal:
Trans. Amer. Math. Soc.
352
(2000),
595-608.
MSC (1991):
Primary 14L27
Posted:
May 3, 1999
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Abstract:
Let  be a finite field extension and let us consider the automorphism scheme  . We prove that  is a complete  -group, i.e., it has trivial centre and any automorphism is inner, except for separable extensions of degree 2 or 6. As a consequence, we obtain for finite field extensions  of  , not being separable of degree 2 or 6, the following equivalence: 
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Additional Information:
Pedro
J. Sancho
de Salas
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Badajoz 06071, Spain
Email:
sancho@unex.es
DOI:
10.1090/S0002-9947-99-02361-2
PII:
S 0002-9947(99)02361-2
Keywords:
Finite field extension,
automorphism,
complete
Received by editor(s):
October 31, 1997
Posted:
May 3, 1999
Additional Notes:
This paper is part of the author's dissertation at the Universidad de Salamanca under the supervision of J. B. Sancho de Salas.
Copyright of article:
Copyright
1999,
American Mathematical Society
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