Sh:913

• Kaplan, I., & Shelah, S. (2012). Automorphism towers and automorphism groups of fields without choice. In Groups and model theory, Vol. 576, Amer. Math. Soc., Providence, RI, pp. 187–203. arXiv: 1004.1810 DOI: 10.1090/conm/576/11337 MR: 2962885
• Abstract:
  The main result (already achieved in [FriedKollar]), is that any group can be represented as an automorphism group of a field. We introduce a new proof, using a simple construction. We conclude \tau_{\kappa}^{nlg}\leq\tau_{\kappa} without choice.
• Version 2011-11-20_11 (33p) published version (17p)

@incollection{Sh:913,
 author = {Kaplan, Itay and Shelah, Saharon},
 title = {{Automorphism towers and automorphism groups of fields without choice}},
 booktitle = {{Groups and model theory}},
 series = {Contemp. Math.},
 volume = {576},
 year = {2012},
 pages = {187--203},
 publisher = {Amer. Math. Soc., Providence, RI},
 mrnumber = {2962885},
 mrclass = {20A15 (03E25)},
 doi = {10.1090/conm/576/11337},
 note = {\href{https://arxiv.org/abs/1004.1810}{arXiv: 1004.1810}},
 arxiv_number = {1004.1810}
}