The automorphism tower problem II

Simon Thomas

doi:10.1007/BF02762269

The automorphism tower problem II

Simon Thomas

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article

7 Scopus citations

Abstract

We prove that the automorphism tower of every infinite centreless group G of cardinality κ terminates in less than (2^κ)⁺ 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 2^κ steps.

Original language	English (US)
Pages (from-to)	93-109
Number of pages	17
Journal	Israel Journal of Mathematics
Volume	103
DOIs	https://doi.org/10.1007/BF02762269
State	Published - Jan 1 1998

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1007/BF02762269

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Thomas, S. (1998). The automorphism tower problem II. Israel Journal of Mathematics, 103, 93-109. https://doi.org/10.1007/BF02762269

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