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Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 1

Gröbner-Shirshov Basis for Complex Reflection Group

Eylem GÜZEL KARPUZ
Nurten URLU ÖZALAN
Ahmet Sinan ÇEVİK
Sayfa
79–90
Yayın Tarihi
2019-04-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of this paper is to obtain a (non-commutative) Gröbner-Shirshov basis for the braid group associated with the complex reflection group $G_{24}$.
📊
Temel Bulgular & Veri:The aim of this paper is to obtain a (non-commutative) Gröbner-Shirshov basis for the braid group associated with the complex reflection group $G_{24}$.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Braid group · Gröbner-Shirshov basis · presentation

Abstract

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.

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Bu Makaleye Atıf Yap

KARPUZ, E. G., ÖZALAN, N. U., ÇEVİK, A. S. (2019). Gröbner-Shirshov Basis for Complex Reflection Group. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 1, 79–90. https://ajindex.com/articles/786524

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Kaynakça (18)

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