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.
Simplicial groups, crossed modules, groupoids
ULUALAN, ERDAL and PAK, SEDAT
"Braiding for internal categories in the category of whiskered groupoids and simplicial groups,"
Turkish Journal of Mathematics: Vol. 37:
1, Article 14.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss1/14