@article{1753d72a7de24fe3a1d582f98a5fcff4,
title = "The automorphism tower problem revisited",
abstract = "It is well known that the automorphism towers of infinite centreless groups of cardinality κ terminate in less than (2κ)+ steps. But an easy counting argument shows that (2κ)+ is not the best possible bound. However, in this paper, we will show that it is impossible to find an explicit better bound using ZFC.",
author = "Winfried Just and Saharon Shelah and Simon Thomas",
note = "Funding Information: 1The research of the first author was done during a visit to Rutgers University in September 1997, which was partially supported by NSF Grant DMS-9704477. The research of the second author was partially supported by the U.S.-Israel Binational Science Foundation. This paper is number 654 in the cumulative list of the second author{\textquoteright}s publications. The research of the third was partially supported by NSF grants.",
year = "1999",
month = dec,
day = "25",
doi = "10.1006/aima.1999.1852",
language = "English (US)",
volume = "148",
pages = "243--265",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "2",
}