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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Every group has a terminating transfinite automorphism tower
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by Joel David Hamkins PDF
Proc. Amer. Math. Soc. 126 (1998), 3223-3226 Request permission

Abstract:

Iteratively taking the automorphism group of any group leads, transfinitely, to a fixed point.
References
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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
  • MR Author ID: 347679
  • Email: hamkins@integral.math.csi.cuny.edu
  • 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
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3223-3226
  • MSC (1991): Primary 20E36, 20F28
  • DOI: https://doi.org/10.1090/S0002-9939-98-04797-2
  • MathSciNet review: 1487370