Freeness conditions of tensors and coproducts of groups

MUTLU A.

Mathematical and Computational Applications, vol.9, no.3, pp.417-426, 2004 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 3
  • Publication Date: 2004
  • Doi Number: 10.3390/mca9030417
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.417-426
  • Keywords: 2-crossed complex, Free crossed square, Free simplicial group, Square complex
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Using a free simplicial group with given a CW-basis, we give an alternative description of the top group of the free square complex and 2-crossed complex of groups on 2-construction data in terms of tensors and coproducts of crossed module of groups. Therefore the functors are given between these categorical constructions.