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Iterated Peiffer pairings in the Moore complex of a simplicial group

A Mutlu, T Porter

math.ATarXiv:math/9904038

Abstract

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

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