A bicombing that implies a sub-exponential isoperimetric inequality

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The idea of applying isoperimetric functions to group theory is due to M.Gromov. We introduce the concept of a ``bicombing of narrow shape'' which generalizes the usual notion of bicombing. Our bicombing is related to but different from the combings defined by M. Bridson. If the Cayley graph of a group with respect to a given set of generators admits a bicombing of narrow shape then the group is finitely presented and satisfies a sub-exponential isoperimetric inequality, as well as a polynomial isodiametric inequality. We give an infinite class of examples which are not bicombable in the usual sense but admit bicombings of narrow shape.
LaTex, 10 pages, no figures

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/152868

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9310209
 http://arxiv.org/abs/math/9310209

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arXiv