Iterated Peiffer pairings in the Moore complex of a simplicial group

MUTLU A., Porter T.

Applied Categorical Structures, vol.9, no.2, pp.111-130, 2001 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 2
  • Publication Date: 2001
  • Doi Number: 10.1023/a:1008652420694
  • Journal Name: Applied Categorical Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.111-130
  • Keywords: Moore complex, Peiffer pairings, simplicial group
  • Manisa Celal Bayar University Affiliated: Yes

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.