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

Authors

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

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

Abstract

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.

Keywords

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

2010 Mathematics Subject Classification

18D35, 18G30, 18G50, 18G55

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Published 1 January 2007