Abstract

In this work, we define the notion of `braiding' for an internal groupoid in the category of whiskered groupoids and we give a relation between this structure and simplicial groups by using higher order Peiffer elements in the Moore complex of a simplicial group.

DOI

10.3906/mat-1106-30

Keywords

Simplicial groups, crossed modules, groupoids

First Page

145

Last Page

164

Recommended Citation

ULUALAN, E, & PAK, S (2013). Braiding for internal categories in the category of whiskered groupoids and simplicial groups. Turkish Journal of Mathematics 37 (1): 145-164. https://doi.org/10.3906/mat-1106-30

Download