Sh:654

• Just, W., Shelah, S., & Thomas, S. (1999). The automorphism tower problem revisited. Adv. Math., 148(2), 243–265. arXiv: math/0003120 DOI: 10.1006/aima.1999.1852 MR: 1736959
• Abstract:
  It is known that the automorphism towers of infinite centreless groups of cardinality \kappa terminate in less than \left( 2^{\kappa} \right)^{+} steps. In this paper, we show that ZFC cannot settle the question of whether such automorphism towers actually terminate in less than 2^{\kappa} steps.
• Version 2000-01-30_11 (25p) published version (23p)

@article{Sh:654,
 author = {Just, Winfried and Shelah, Saharon and Thomas, Simon},
 title = {{The automorphism tower problem revisited}},
 journal = {Adv. Math.},
 fjournal = {Advances in Mathematics},
 volume = {148},
 number = {2},
 year = {1999},
 pages = {243--265},
 issn = {0001-8708},
 mrnumber = {1736959},
 mrclass = {20F28 (03E35)},
 doi = {10.1006/aima.1999.1852},
 note = {\href{https://arxiv.org/abs/math/0003120}{arXiv: math/0003120}},
 arxiv_number = {math/0003120}
}