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- W3005806050 abstract "The author is mainly interest in the Gr{o}bner-Shirshov bases of finite Coxeter groups. It is known that the finite Coxeter groups are classified in terms of Coxeter-Dynkin diagrams. Under the fixed order, it is worth mention that the presentation of group determines the Gr{o}bner-Shirshov bases of group. In this paper, the author rearranges the generators, marks them on Coxeter-Dynkin diagrams, and gets a simple presentation of the Gr{o}bner-Shirshov bases for Coxeter groups of types $G_2, F_4, E_6$ and $E_7$. This article also gives the Gr{o}bner-Shirshov basis of Coxeter group of type $E_8$." @default.
- W3005806050 created "2020-02-24" @default.
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- W3005806050 date "2020-02-17" @default.
- W3005806050 modified "2023-09-25" @default.
- W3005806050 title "Grobner-Shirshov bases for the Coxeter groups of the types $G_2,F_4,E_6,E_7$ and $E_8$" @default.
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- W3005806050 doi "https://doi.org/10.48550/arxiv.2002.07369" @default.
- W3005806050 hasPublicationYear "2020" @default.
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