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.
Original language | English |
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Pages (from-to) | 243-265 |
Number of pages | 23 |
Journal | Advances in Mathematics |
Volume | 148 |
Issue number | 2 |
DOIs | |
State | Published - 25 Dec 1999 |