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Gnk-groups for simplicial complexes and the word problem on G2(K)

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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.

Keywords: see text; formula see; word problem; simplicial complexes

Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2018

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