Source: wikibot/simplicial-group
= Simplicial group
{wiki=Simplicial_group}
A simplicial group is a kind of algebraic structure that arises in the context of simplicial sets and homotopy theory. It can be understood as a group that is associated with a simplicial set, which is a combinatorial object used to study topological spaces. \#\#\# Definition A **simplicial group** is defined as a simplicial object in the category of groups.