English

Iterated Peiffer pairings in the Moore complex of a simplicial group

Algebraic Topology 2007-05-23 v1 K-Theory and Homology

Abstract

We introduce a pairing structure within the Moore complex NG of a simplicial group G and use it to investigate generators for NG_n\cap D_n where D_n is the subgroup generated by degenerate elements. This is applied to the study of algebraic models for homotopy types.

Keywords

Cite

@article{arxiv.math/9904038,
  title  = {Iterated Peiffer pairings in the Moore complex of a simplicial group},
  author = {A Mutlu and T Porter},
  journal= {arXiv preprint arXiv:math/9904038},
  year   = {2007}
}

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25 pages