Isoperimetric functions and embeddings of groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 165-173
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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.
@article{FPM_2003_9_3_a11,
author = {A. N. Platonov},
title = {Isoperimetric functions and embeddings of groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {165--173},
publisher = {mathdoc},
volume = {9},
number = {3},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a11/}
}
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/