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Changing the heights of automorphism towers

โœ Scribed by Joel David Hamkins; Simon Thomas


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
153 KB
Volume
102
Category
Article
ISSN
0168-0072

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It is well known that the automorphism towers of infinite centreless groups of cardinality } terminate in less than (2 } ) + steps. But an easy counting argument shows that (2 } ) + is not the best possible bound. However, in this paper, we will show that it is impossible to find an explicit better