On algebraic closure in pseudofinite fields
نویسندگان
چکیده
We study the automorphism group of the algebraic closure of a substructure A of a pseudo-finite field F . We show that the behavior of this group, even when A is large, depends essentially on the roots of unity in F . For almost all completions of the theory, we show that algebraic closure agrees with definable closure, as soon as A contains the relative algebraic closure of the prime field.
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عنوان ژورنال:
- J. Symb. Log.
دوره 77 شماره
صفحات -
تاریخ انتشار 2012