The automorphism tower problem revisited

by Just and Shelah and Thomas. [JShT:654]
Advances in Math, 1999
It is known that the automorphism towers of infinite centreless groups of cardinality kappa terminate in less than (2^{kappa})^{+} 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.


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