FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 3, PAGES 165-173

**Isoperimetric functions and embeddings of groups**

A. N. Platonov

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k03/k033/k03312h.htm.

Last modified: January 24, 2005.