Iterated Peiffer pairings in the Moore complex of a simplicial group

Mutlu A.Porter T.2025-04-102025-04-102001http://hdl.handle.net/20.500.14701/53268We 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.Iterated Peiffer pairings in the Moore complex of a simplicial groupArticle10.1023/A:1008652420694