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Israel Journal of Mathematics

, Volume 103, Issue 1, pp 93–109 | Cite as

The automorphism tower problem II

  • Simon ThomasEmail author
Article

Abstract

We prove that the automorphism tower of every infinite centreless groupG of cardinality κ terminates in less than (2κ)+ steps. We also show that it is consistent withZFC that the automorphism tower of every infinite centreless groupG of regular cardinality κ actually terminates in less than 2κ steps.

Keywords

Outer Automorphism Regular Cardinal Follow Diagram Commute Conservative Extension Canonical Embedding 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1998

Authors and Affiliations

  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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