Gröbner-Shirshov Basis for Complex Reflection Group

Authors : Eylem GÜZEL KARPUZ, Nurten URLU ÖZALAN, Ahmet Sinan ÇEVİK

Pages : 79-90

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Publication Date : 2019-04-15

Article Type : Conference Paper

Abstract :The aim of this paper is to obtain a insert ignore into journalissuearticles values(non-commutative); Gröbner-Shirshov basis for the braid group associated with the complex reflection group $G_{24}$. This gives us an opportunity to get normal forms of the elements of group $G_{24}$, which represent a new and effective algorithm to solve the word problem over it.
Keywords : Braid group, Gröbner Shirshov basis, presentation, word problem