Working paper

### On the dimension of the virtually cyclic classifying space of a crystallographic group

Abstract:
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.
Publication status:
Not published
Peer review status:
Not peer reviewed

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### Authors

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Department:
Unknown
Role:
Author
ORCID:
0000-0002-0412-142X
Publication date:
2006-10-12
Source identifiers:
926183
Keywords:
Pubs id:
pubs:926183
UUID:
uuid:cecfe6e3-4d41-4c07-8555-acb9d0ff327c
Local pid:
pubs:926183
Deposit date:
2018-10-10

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