Classifying spaces for the family of virtually cyclic subgroups of braid groups
نویسنده
چکیده
We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group Bn, and of the pure braid group Pn, with respect to the family of virtually cyclic groups is n.
منابع مشابه
Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane
We classify the (finite and infinite) virtually cyclic subgroups of the pure braid groups PnpRP2q of the projective plane. The maximal finite subgroups of PnpRP2q are isomorphic to the quaternion group of order 8 if n 3, and to Z4 if n ¥ 4. Further, for all n ¥ 3, up to isomorphism, the following groups are the infinite virtually cyclic subgroups of PnpRP2q: Z, Z2 Z and the amalgamated product ...
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