SL(n,Z) cannot act on small spheres

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dc.creatorZimmermann, Bruno P.
dc.date2006-04-11
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:14Z
dc.date.available2026-07-07T10:14:14Z
dc.descriptionThe group SL(n,Z) admits a smooth faithful action on the (n-1)-sphere S^(n-1), induced from its linear action on euclidean space R^n. We show that, if m < n-1 and n > 2, any smooth action of SL(n,Z) on a mod 2 homology m-sphere, and in particular on the m-sphere S^m, is trivial.
dc.description5 pages; this is a corrected version which will appear in Top. Appl. 2008
dc.identifierhttps://arxiv.org/abs/math/0604239
dc.identifierhttp://arxiv.org/abs/math/0604239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172814
dc.subjectGeometric Topology
dc.subject57S25
dc.titleSL(n,Z) cannot act on small spheres
dc.typetext

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