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- W2028769156 abstract "Let F be a subfield of an algebraically closed field A of characteristic 0, S a finite subset of A disjoint from F, K a subfield of A containing F and maximal with respect to disjointness from S, L a finite extension of K, and G=G(L/K) the group of automorphisms of L/K. Quigley [4] and McCarthy [1] obtained precise information about G in the case where S has one or two elements, respectively (they handled the characteristic p case also). Theorem 1 of this paper shows that there is some restriction on G in the general case. In particular (Theorem 2), G is solvable if S has at most twenty elements." @default.
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- W2028769156 date "1968-06-01" @default.
- W2028769156 modified "2023-10-18" @default.
- W2028769156 title "Maximal fields disjoint from finite sets" @default.
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- W2028769156 doi "https://doi.org/10.1090/s0002-9939-1968-0231815-2" @default.
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