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Iterated Peiffer Pairings in the Moore Complex of a Simplicial Group

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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 D n where D n is the subgroup generated by degenerate elements. This is applied to the study of algebraic models for homotopy types.

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Mutlu, A., Porter, T. Iterated Peiffer Pairings in the Moore Complex of a Simplicial Group. Applied Categorical Structures 9, 111–130 (2001). https://doi.org/10.1023/A:1008652420694

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