On the dimension of the virtually cyclic classifying space of a crystallographic group
In 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 tha...
| मुख्य लेखकों: | , , |
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| स्वरूप: | Working paper |
| प्रकाशित: |
2006
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| _version_ | 1826297498512130048 |
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| author | Connolly, F Fehrman, B Hartglass, M |
| author_facet | Connolly, F Fehrman, B Hartglass, M |
| author_sort | Connolly, F |
| collection | OXFORD |
| description | In 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. |
| first_indexed | 2024-03-07T04:32:33Z |
| format | Working paper |
| id | oxford-uuid:cecfe6e3-4d41-4c07-8555-acb9d0ff327c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:32:33Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:cecfe6e3-4d41-4c07-8555-acb9d0ff327c2022-03-27T07:38:13ZOn the dimension of the virtually cyclic classifying space of a crystallographic groupWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:cecfe6e3-4d41-4c07-8555-acb9d0ff327cSymplectic Elements at Oxford2006Connolly, FFehrman, BHartglass, MIn 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. |
| spellingShingle | Connolly, F Fehrman, B Hartglass, M On the dimension of the virtually cyclic classifying space of a crystallographic group |
| title | On the dimension of the virtually cyclic classifying space of a crystallographic group |
| title_full | On the dimension of the virtually cyclic classifying space of a crystallographic group |
| title_fullStr | On the dimension of the virtually cyclic classifying space of a crystallographic group |
| title_full_unstemmed | On the dimension of the virtually cyclic classifying space of a crystallographic group |
| title_short | On the dimension of the virtually cyclic classifying space of a crystallographic group |
| title_sort | on the dimension of the virtually cyclic classifying space of a crystallographic group |
| work_keys_str_mv | AT connollyf onthedimensionofthevirtuallycyclicclassifyingspaceofacrystallographicgroup AT fehrmanb onthedimensionofthevirtuallycyclicclassifyingspaceofacrystallographicgroup AT hartglassm onthedimensionofthevirtuallycyclicclassifyingspaceofacrystallographicgroup |