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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 5, Pages 641–644
DOI: https://doi.org/10.17516/1997-1397-2022-15-5-641-644 (Mi jsfu1031) 		 
Dehn functions and the space of marked groups

Mohammad Shahryari

Department of Mathematics, College of Sciences, Sultan Qaboos University, Muscat, Oman
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DOI: https://doi.org/10.17516/1997-1397-2022-15-5-641-644
Abstract: In the space of marked group, we suppose that a sequence $(G_i, X_i)$ converges to $(G,X)$, where $G$ is finitely presented. We obtain an inequality which connects Dehn functions of $G_i$s and $G$.
Keywords: space of marked groups, Gromov-Grigorchuk metric, finitely presented groups, Dehn functions.
Received: 10.09.2022
Received in revised form: 10.11.2022
Accepted: 20.12.2022
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: English
Citation: Mohammad Shahryari, “Dehn functions and the space of marked groups”, J. Sib. Fed. Univ. Math. Phys., 15:5 (2022), 641–644
Citation in format AMSBIB
\Bibitem{Sha22}
\by Mohammad~Shahryari
\paper Dehn functions and the space of marked groups
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 5
\pages 641--644
\mathnet{http://mi.mathnet.ru/jsfu1031}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4497572}
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