Geodesic
Isoperimetric functions and embeddings of groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 165-173 
A. N. Platonov. Isoperimetric functions and embeddings of groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 165-173. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a11/
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     title = {Isoperimetric functions and embeddings of groups},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, we show that the embedding of groups almost preserves isoperimetric functions. More precisely, if $G$ is a known isoperimetric function group, then there exists an embedding of $G$ into a two-generated group $H$ such that the isoperimetric functions of the groups $G$ and $H$ are equivalent.

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