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|Title:||On homotopy groups of the suspended classifying spaces|
|Citation:||Mikhailov, R., Wu, J. (2010). On homotopy groups of the suspended classifying spaces. Algebraic and Geometric Topology 10 (1) : 565-625. ScholarBank@NUS Repository. https://doi.org/10.2140/agt.2010.10.565|
|Abstract:||In this paper, we determine the homotopy groups π4(∑K(A, 1)) and π5(∑K(A, 1))for abelian groups A by using the following methods from group theory and homotopy theory: derived functors, the Carlsson simplicial construction, the Baues-Goerss spectral sequence, homotopy decompositions and the methods of algebraic K-theory. As the applications, we also determine πi(∑K(G, 1)) with i =4; 5 for some nonabelian groups G =∑3 and SL(Z), and π4(∑K(A4, 1)) for the 4-th alternating group A4.|
|Source Title:||Algebraic and Geometric Topology|
|Appears in Collections:||Staff Publications|
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