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On Dehn functions of free products of groups


Authors: V. S. Guba and M. V. Sapir
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
Published electronically: March 1, 1999
MathSciNet review: 1469408
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Abstract: In this article we show that the Dehn function of a nontrivial free product of groups is equivalent to its subnegative closure.


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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
Email: msapir@math.vanderbilt.edu

DOI: https://doi.org/10.1090/S0002-9939-99-04579-7
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
Article copyright: © Copyright 1999 American Mathematical Society