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Izvestiya: Mathematics, 2013, Volume 77, Issue 3, Pages 581–593
DOI: https://doi.org/10.1070/IM2013v077n03ABEH002650 (Mi im7981) 		 
Homotopy groups as centres of finitely presented groups

J. Wua, R. V. Mikhailovbcd

a Department of Mathematics, National University of Singapore
b Saint-Petersburg State University
c Steklov Mathematical Institute, Russian Academy of Sciences
d Institute for Advanced Study, Princeton, NJ
English version PDF (306 kB) Russian version article
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DOI: https://doi.org/10.1070/IM2013v077n03ABEH002650
Abstract: For every finite Abelian group $A$ and integer $n\geqslant 3$ we construct a finitely presented group defined by explicit generators and relations such that its centre is isomorphic to $\pi_n(\Sigma K(A,1))$.
Keywords: homotopy theory, homotopy groups, simplicial groups, finitely presented groups.
Funding agency Grant number
Ministry of Education, Singapore AcRF Tier 1, WBS no. R-146-000-137-112
AcRF Tier 2, WBS no. R-146-000-143-112
National Natural Science Foundation of China 11028104
Ministry of Education and Science of the Russian Federation 11.G34.31.0026
Received: 21.03.2012
Revised: 23.07.2012
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 20F38, 55Q52, 55U10, 57M07
Language: English
Original paper language: Russian
Citation: J. Wu, R. V. Mikhailov, “Homotopy groups as centres of finitely presented groups”, Izv. Math., 77:3 (2013), 581–593
Citation in format AMSBIB
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\paper Homotopy groups as centres of finitely presented groups
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\yr 2013
\vol 77
\issue 3
\pages 581--593
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