The automorphism tower problem II

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Abstract

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

Original languageEnglish (US)
Pages (from-to)93-109
Number of pages17
JournalIsrael Journal of Mathematics
Volume103
DOIs
StatePublished - Jan 1 1998

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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