Please use this identifier to cite or link to this item: https://doi.org/10.2140/gt.2013.17.235
Title: Combinatorial group theory and the homotopy groups of finite complexes
Authors: Mikhailov, R.
Wu, J. 
Issue Date: 7-Mar-2013
Source: Mikhailov, R., Wu, J. (2013-03-07). Combinatorial group theory and the homotopy groups of finite complexes. Geometry and Topology 17 (1) : 235-272. ScholarBank@NUS Repository. https://doi.org/10.2140/gt.2013.17.235
Abstract: For n > k≥3, we construct a finitely generated group with explicit generators and relations obtained from braid groups, whose center is exactly πn.(S k). Our methods can be extended to obtain combinatorial descriptions of homotopy groups of finite complexes. As an example, we also give a combinatorial description of the homotopy groups of Moore spaces.
Source Title: Geometry and Topology
URI: http://scholarbank.nus.edu.sg/handle/10635/103000
ISSN: 14653060
DOI: 10.2140/gt.2013.17.235
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