Eylem GÜZEL KARPUZ, Nurten URLU ÖZALAN, Ahmet Sinan ÇEVİK

Gröbner-Shirshov Basis for Complex Reflection Group

The aim of this paper is to obtain a (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,

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Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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