paper

Iterated Peiffer pairings in the Moore complex of a simplicial group

arXiv: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 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.

25 pages

Iterated Peiffer pairings in the Moore complex of a simplicial group · wovepaper