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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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Lawlessness and rank restrictions in certain finitary groups
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by C. J. E. Pinnock PDF
Proc. Amer. Math. Soc. 130 (2002), 2815-2819 Request permission

Abstract:

We give two applications of the recent classification of locally finite simple finitary skew linear groups. We show that certain irreducible finitary skew linear groups of infinite dimension generate the variety of all groups and have infinite Prüfer rank.
References
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Additional Information
  • C. J. E. Pinnock
  • Affiliation: School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, United Kingdom
  • Address at time of publication: IP Design, Interoute Telecommunications (UK) Ltd., Barnard’s Inn, 86 Fetter Lane, London EC4A 1EN, United Kingdom
  • Email: C.J.E.Pinnock@qmw.ac.uk, cjep@fawlty.net
  • Received by editor(s): November 16, 2000
  • Published electronically: May 1, 2002
  • Additional Notes: This work was supported by an EPSRC grant
  • Communicated by: Lance W. Small
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2815-2819
  • MSC (2000): Primary 20H99, 20E10
  • DOI: https://doi.org/10.1090/S0002-9939-02-06673-X
  • MathSciNet review: 1908262