The Automorphism Tower Problem Revisited

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Abstract:

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 bound using ZFC. Copyright 1999 Academic Press.

Document Type: Research Article

Affiliations: 1: Department of Mathematics, Ohio University, Athens, Ohio, 45701 2: Mathematics Department, The Hebrew University, Jerusalem, Israel 3: Mathematics Department, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey, 08854-8019

Publication date: December 1, 1999

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