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Automorphism scheme of a finite field extension |
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| Authors: | Pedro J Sancho de Salas |
| Institution: | Departamento de Matemáticas, Universidad de Extremadura, Badajoz 06071, Spain |
| 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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| Keywords: | Finite field extension automorphism complete |
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