GRÖBNER-SHIRSHOV BASES AND NORMAL FORMS OF SOME COXETER GROUPS

DOI10.17654/NT040050701zbMath1421.20016OpenAlexW2899153132MaRDI QIDQ5229596

Erol Yilmaz, Ugur Ustaoglu

Publication date: 16 August 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt040050701

zbMATH Keywords

Coxeter groupsnormal formspermutation groupsGröbner-Shirshov basescomposition-diamond lemma

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Cites Work

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• GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS
• Combinatorics of Coxeter Groups
• GRÖBNER—SHIRSHOV BASES AND NORMAL FORMS FOR THE COXETER GROUPS E₆ AND E₇
• Gröbner–Shirshov basis and reduced words for affine Weyl group Ã_n

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