Geodesic
Dehn functions and the space of marked groups
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 641-644

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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. 
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     title = {Dehn functions and the space of marked groups},
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Mohammad Shahryari. Dehn functions and the space of marked groups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 641-644. http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a10/