Abstract
For , we construct a finitely generated group with explicit generators and relations obtained from braid groups, whose center is exactly . 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.
Citation
Roman Mikhailov. Jie Wu. "Combinatorial group theory and the homotopy groups of finite complexes." Geom. Topol. 17 (1) 235 - 272, 2013. https://doi.org/10.2140/gt.2013.17.235
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