Isometries of CAT(0) cube complexes are semi-simple

dc.creatorHaglund, Frédéric
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:02:59Z
dc.date.available2026-07-07T08:02:59Z
dc.descriptionWe show that an automorphism of an arbitrary CAT(0) cube complex either has a fixed point or preserves some combinatorial axis. It follows that when a group contains a distorted cyclic subgroup, it admits no proper action on a discrete space with walls.
dc.identifierhttps://arxiv.org/abs/0705.3386
dc.identifierhttp://arxiv.org/abs/0705.3386
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129418
dc.subjectGroup Theory
dc.subject20F65, 20F67, (53C21, 20F18)
dc.titleIsometries of CAT(0) cube complexes are semi-simple
dc.typetext

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