Homology, Homotopy and Applications

Volume 9 (2007)

Number 1

3-types of simplicial groups and braided regular crossed modules

Pages: 139 – 161

DOI: https://dx.doi.org/10.4310/HHA.2007.v9.n1.a5


Z. Arvasi (Mathematics Department, Eskişehir Osmangazi University, Eskişehir, Turkey)

E. Ulualan (Mathematics Department, Dumlupınar University, Kütahya, Turkey)


In this work, we explain the relations among braided regular crossed modules, simplicial groups, 2-crossed modules, quadratic modules and crossed squares, and the role of hypercrossed complex pairings in these structures.


2-crossed modules, simplicial groups, braided regular crossed modules

2010 Mathematics Subject Classification

18D35, 18G30, 18G50, 18G55

Published 1 January 2007