Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 1

Braiding for internal categories in the category of whiskered groupoids and simplicial groups

Pages
145–164
DOI
—

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.

Özet

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: Key words: Simplicial groups, crossed modules, groupoids