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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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Hilbert space compression under direct limits and certain group extensions
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by Dennis Dreesen PDF
Proc. Amer. Math. Soc. 141 (2013), 421-436 Request permission

Abstract:

We find bounds on the Hilbert space compression exponent of the limit of a directed metric system of groups. We also give estimates on the Hilbert space compression exponent of a group extension of a group $H$ by a word-hyperbolic group or a group of polynomial growth.
References
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Additional Information
  • Dennis Dreesen
  • Affiliation: Katholieke Universiteit Leuven campus Kortrijk, Etienne Sabbelaan 53, 8500 Kortrijk, Belgium – and – Institut de Mathématiques, Université de Neuchâtel, Rue Emile-Argand 11, 2009 Neuchâtel, Switzerland
  • Address at time of publication: Bât. M. de Hemptinne, á l’att. de Dennis Dreesen, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium
  • Email: dennis.dreesen@kuleuven-kortrijk.be; dennis.dreesen@unine.ch, dennis.dreesen@uclouvain.be
  • Received by editor(s): March 18, 2011
  • Received by editor(s) in revised form: June 16, 2011, and June 30, 2011
  • Published electronically: June 7, 2012
  • Additional Notes: The author is a research assistant for the Research Foundation - Flanders.
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 421-436
  • MSC (2010): Primary 20F65; Secondary 20F67
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11341-3
  • MathSciNet review: 2996947