On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group

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dc.creatorConnolly, Frank
dc.creatorFehrman, Benjamin
dc.creatorHartglass, Michael
dc.date2006-10-12
dc.date.accessioned2026-07-07T07:28:59Z
dc.date.available2026-07-07T07:28:59Z
dc.descriptionIn this paper we construct a model for the classifying space, BVCG, of a crystallographic group G of rank n relative to the family VC of virtually-cyclic subgroups of G. The model is used to show that there exists no other model for the virtually-cyclic classifying space of G with dimension less than vcd(G)+1, where vcd(G) denotes the virtual cohomological dimension of G. In addition, the dimension of our construction realizes this limit.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0610387
dc.identifierhttp://arxiv.org/abs/math/0610387
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117936
dc.subjectAlgebraic Topology
dc.subject55R35 (primary); 55R40 (secondary)
dc.titleOn The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group
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