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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 7 Issue: 1

Gröbner-Shirshov Basis for Complex Reflection Group

Eylem Güzel Karpuz(Karamanoğlu Mehmetbey University)0000-0002-7111-3462
Nurten Urlu Özalan(KTO Karatay University)0000-0002-3022-350X
Ahmet Sinan Çevik(Selçuk University)0000-0002-7539-5065
Pages
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Publication Date
2019-04-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to obtain a (non-commutative) Gröbner-Shirshov basis for the braid group associated with the complex reflection group $G_{24}$.
📊
Key Findings & Data:The aim of this paper is to obtain a (non-commutative) Gröbner-Shirshov basis for the braid group associated with the complex reflection group $G_{24}$.
💡
Conclusion & Impact: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.
🔬Design:Conference Paper
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

Karpuz, E. G., Özalan, N. U., Çevik, A. S. (2019). Gröbner-Shirshov Basis for Complex Reflection Group. Konuralp Journal of Mathematics, Volume: 7 Issue: 1. https://ajindex.com/articles/1521759

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