The automorphism tower problem revisited

Details The automorphism tower problem revisited The automorphism tower problem revisited

2000-03-20

arxiv.org/abs/math/0003120v1

Advances in Mathematics, 148(1999):243-265

Mathematics

Logic

Scientific paper

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.

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