We introduce a natural [Formula: see text]-type construction of groups on any given simplicial complex [Formula: see text] called [Formula: see text] as a generalization of the notion of groups… Click to show full abstract
We introduce a natural [Formula: see text]-type construction of groups on any given simplicial complex [Formula: see text] called [Formula: see text] as a generalization of the notion of groups [Formula: see text], which gives a functor from the category of simplicial complexes and injective simplicial maps to the category of groups. We prove that the word problem on [Formula: see text] is solvable.
               
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