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Mathematics

Turkish Journal of Mathematics

2013

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Braiding For Internal Categories In The Category Of Whiskered Groupoids And Simplicial Groups, Erdal Ulualan, Sedat Pak Jan 2013

Braiding For Internal Categories In The Category Of Whiskered Groupoids And Simplicial Groups, Erdal Ulualan, Sedat Pak

Turkish Journal of Mathematics

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.