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Title: Combinatorial group theory and the homotopy groups of finite complexes
Authors: Mikhailov, R.
Wu, J. 
Issue Date: 7-Mar-2013
Citation: 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.
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
ISSN: 14653060
DOI: 10.2140/gt.2013.17.235
Appears in Collections:Staff Publications

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