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Iterated Peiffer pairings in the Moore complex of a simplicial group

A Mutlu·T Porter
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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\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.

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A Mutlu, T Porter. 1999-04-09. Iterated Peiffer pairings in the Moore complex of a simplicial group. https://arxiv.org/abs/math/9904038

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