Please use this identifier to cite or link to this item:
|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|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on May 19, 2018
WEB OF SCIENCETM
checked on Apr 3, 2018
checked on May 11, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.