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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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On Dehn functions of free products of groups
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by V. S. Guba and M. V. Sapir PDF
Proc. Amer. Math. Soc. 127 (1999), 1885-1891 Request permission

Abstract:

In this article we show that the Dehn function of a nontrivial free product of groups is equivalent to its subnegative closure.
References
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Additional Information
  • V. S. Guba
  • Affiliation: Department of Mathematics Vologda State Pedagogical University S. Orlov St., 6 Vologda 160600 Russia
  • Email: guba@vgpi.vologda.su
  • M. V. Sapir
  • Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
  • MR Author ID: 189574
  • Email: msapir@math.vanderbilt.edu
  • Received by editor(s): June 27, 1997
  • Published electronically: March 1, 1999
  • Additional Notes: The research of the first author was supported in part by grants from the ISF and the Russian Foundation for Fundamental Researches, grant no. 96–01–00420. The research of the second author was supported in part by NSF grants.
  • Communicated by: Ronald M. Solomon
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1885-1891
  • MSC (1991): Primary 20F32; Secondary 57M07
  • DOI: https://doi.org/10.1090/S0002-9939-99-04579-7
  • MathSciNet review: 1469408