The purpose of this Chapter is to develop a connection between lower cenral and dimension series of groups, simplicial homotopy theory, and derived functors of non-additive functors in the sense of Dold-Puppe. A basic role in this study is played by two spectral sequences investigated by E. Curtis. Our analysis leads to interesting homotopical applications.
For various notions about simplicial objects and the tools required from simplicial homotopy theory, the reader is referred to the Appendix.
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© 2009 Springer-Verlag Berlin Heidelberg
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(2009). Homotopical Aspects. In: Lower Central and Dimension Series of Groups. Lecture Notes in Mathematics, vol 1952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85818-8_5
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DOI: https://doi.org/10.1007/978-3-540-85818-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85817-1
Online ISBN: 978-3-540-85818-8
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