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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Every group has a terminating transfinite automorphism tower


Author: Joel David Hamkins
Journal: Proc. Amer. Math. Soc. 126 (1998), 3223-3226
MSC (1991): Primary 20E36, 20F28
MathSciNet review: 1487370
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Abstract: Iteratively taking the automorphism group of any group leads, transfinitely, to a fixed point.


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Additional Information

Joel David Hamkins
Affiliation: Department of Mathematics, City University of New York, College of Staten Island, Staten Island, New York 10314
Email: hamkins@integral.math.csi.cuny.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04797-2
PII: S 0002-9939(98)04797-2
Received by editor(s): April 9, 1997
Additional Notes: The author’s research has been supported in part by a grant from the PSC-CUNY Research Foundation. He would like to thank both Daniel Seabold and Daniel Velleman for pointing out a simplification in the proof.
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1998 American Mathematical Society