Automorphism groups of differentially closed fields

@article{Konnerth2002AutomorphismGO,
  title={Automorphism groups of differentially closed fields},
  author={Reinhold Konnerth},
  journal={Ann. Pure Appl. Logic},
  year={2002},
  volume={118},
  pages={1-60}
}
Abstract We examine the connections between several automorphism groups associated with a saturated differentially closed field U of characteristic zero. These groups are: Γ, the automorphism group of U; the automorphism group of Γ; Aut ( G (U)) , the automorphism group of the differential combinatorial geometry of U and Aut G (U − ) , the group of field automorphisms of U that respect differential closure. Our main results are: • If U is of cardinality λ+=2λ for some infinite regular cardinal… CONTINUE READING

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