Fractional Isoperimetric Inequalities and subgroup distortion

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dc.creatorBridson, Martin
dc.date1996-12-20
dc.date.accessioned2026-07-07T09:15:41Z
dc.date.available2026-07-07T09:15:41Z
dc.descriptionIt is shown that there exist infinitely many non-integers $r>2$ such that the Dehn function of some finitely presented group is $\simeq n^r$. For each positive rational number $s$ we construct pairs of finitely presented groups $H\subset G$ such that the distortion of $H$ in $G$ is $\simeq n^s$. And for each $s\ge 1$ we also construct finitely presented groups whose isodiametric function is $\simeq n^s$.
dc.descriptionDVI and PostScript files, 19 pages
dc.identifierhttps://arxiv.org/abs/math/9612206
dc.identifierhttp://arxiv.org/abs/math/9612206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153098
dc.subjectGroup Theory
dc.titleFractional Isoperimetric Inequalities and subgroup distortion
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