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.

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Last modified: January 24, 2005.