# Sh:654

• Just, W., Shelah, S., & Thomas, R., Simon. (1999). The automorphism tower problem revisited. Adv. Math., 148(2), 243–265.
• 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.
• published version (23p)
Bib entry
@article{Sh:654,
author = {Just, Winfried and Shelah, Saharon and Thomas, Simon, R.},
title = {{The automorphism tower problem revisited}},
}