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 › peer-review

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 - 1998

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF02762269

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title = "The automorphism tower problem II",

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.",

author = "Simon Thomas",

year = "1998",

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pages = "93--109",

journal = "Israel Journal of Mathematics",

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AU - Thomas, Simon

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AB - 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.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

The automorphism tower problem II

Abstract

All Science Journal Classification (ASJC) codes

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