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 language | English (US) |
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Pages (from-to) | 93-109 |
Number of pages | 17 |
Journal | Israel Journal of Mathematics |
Volume | 103 |
DOIs | |
State | Published - 1998 |
All Science Journal Classification (ASJC) codes
- General Mathematics