Word length in surface groups with characteristic generating sets

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dc.creatorCalegari, Danny
dc.date2007-04-29
dc.date2007-12-11
dc.date.accessioned2026-07-07T09:30:17Z
dc.date.available2026-07-07T09:30:17Z
dc.descriptionA subset of a group is characteristic if it is invariant under every automorphism of the group. We study word length in fundamental groups of closed hyperbolic surfaces with respect to characteristic generating sets consisting of a finite union of orbits of the automorphism group, and show that the translation length of any element with nonzero crossing number is positive, and bounded below by a constant depending only (and explicitly) on a bound on the crossing numbers of generating elements. This answers a question of B. Farb.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0704.3825
dc.identifierhttp://arxiv.org/abs/0704.3825
dc.identifierProc. Amer. Math. Soc. 136 (2008), no. 7, 2631-2637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158077
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F69; 57M07
dc.titleWord length in surface groups with characteristic generating sets
dc.typetext

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