Iterated Peiffer pairings in the Moore complex of a simplicial group

MUTLU A., Porter T.

Applied Categorical Structures, cilt.9, sa.2, ss.111-130, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1023/a:1008652420694
  • Dergi Adı: Applied Categorical Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.111-130
  • Anahtar Kelimeler: Moore complex, Peiffer pairings, simplicial group
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.