The automorphism tower problem revisited
Logic
2007-05-23 v1 Group Theory
Abstract
It is well-known that the automorphism towers of infinite centreless groups of cardinality kappa terminate in less than (2^{kappa})^+ steps. But an easy counting argument shows that (2^{kappa})^+ 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.
Cite
@article{arxiv.math/0003120,
title = {The automorphism tower problem revisited},
author = {Winfried Just and Saharon Shelah and Simon Thomas},
journal= {arXiv preprint arXiv:math/0003120},
year = {2007}
}