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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 3, pp. 165–173, 2003.
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Platonov, A.N. Isoperimetric functions and embeddings of groups. J Math Sci 135, 3377–3383 (2006). https://doi.org/10.1007/s10958-006-0167-x
- Function Group
- Isoperimetric Function