Title of article :
Braiding for internal categories in the category of whiskered groupoids and simplicial groups
Author/Authors :
ULUALAN, Erdal Dumlupınar University - Science Faculty - Department of Mathematics, Turkey , PAK, Sedat Dumlupınar University - Science Faculty - Department of Mathematics, Turkey
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.
Keywords :
Simplicial groups , crossed modules , groupoids
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
