On Dehn functions of free products of groups
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- by V. S. Guba and M. V. Sapir
- Proc. Amer. Math. Soc. 127 (1999), 1885-1891
- DOI: https://doi.org/10.1090/S0002-9939-99-04579-7
- Published electronically: March 1, 1999
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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.References
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Bibliographic 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