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- W2962895646 abstract "A central conjecture in inverse Galois theory, proposed by Debes and Deschamps, asserts that every finite split embedding problem over an arbitrary field can be regularly solved. We give an unconditional proof of a consequence of this conjecture, namely that such embedding problems can be regularly solved if one waives the requirement that the solution fields are normal. This extends previous results of M. Fried, Takahashi, Deschamps, and the last two authors concerning the realization of finite groups as automorphism groups of field extensions." @default.
- W2962895646 created "2019-07-30" @default.
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- W2962895646 date "2019-06-13" @default.
- W2962895646 modified "2023-09-23" @default.
- W2962895646 title "Embedding problems for automorphism groups of field extensions" @default.
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- W2962895646 doi "https://doi.org/10.1112/blms.12270" @default.
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