Geodesic
Fractional isoperimetric inequalities and subgroup distortion
Bridson, Martin1
1Mathematical Institute, 24–29 St. Giles’, Oxford OX1 3LB, Great Britain
Journal of the American Mathematical Society, Tome 12 (1999) no. 4, pp. 1103-1118

Voir la notice de l'article provenant de la source American Mathematical Society

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 $\simeq n^s$.
DOI : 10.1090/S0894-0347-99-00308-2

Bridson, Martin  1

1 Mathematical Institute, 24–29 St. Giles’, Oxford OX1 3LB, Great Britain 
Bridson, Martin. Fractional isoperimetric inequalities and subgroup distortion. Journal of the American Mathematical Society, Tome 12 (1999) no. 4, pp. 1103-1118. doi: 10.1090/S0894-0347-99-00308-2
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