Fractional isoperimetric inequalities and subgroup distortion

Bridson, Martin ¹

¹ Mathematical Institute, 24–29 St. Giles’, Oxford OX1 3LB, Great Britain

Journal of the American Mathematical Society, Tome 12 (1999) no. 4, pp. 1103-1118

Résumé

It is shown that there exist infinitely many non-integers $r>2$ such that the Dehn function of some finitely presented group is $\simeq n^r$. Explicit examples of such groups are constructed. For each rational number $s\ge 1$ pairs of finitely presented groups $H\subset G$ are constructed so that the distortion of $H$ in $G$ is $\simeq n^s$.

Détail

DOI : 10.1090/S0894-0347-99-00308-2

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