2009/10/01 by Yuqun Chen, Chen, Yuqun, Cihua Liu +1 · 1 citation
Mathematics · #13P10 #16S15 #20F05 #20F10 #20F55 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:13P10 #msc:16S15 #msc:20F05 #msc:20F10 #msc:20F55
paper · pdf · doi:10.48550/arxiv.0910.0096
21 papes
arxiv created 2009/10/01 · openalex publication_date 2009/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A conjecture of Gröbner-Shirshov basis of any Coxeter group has proposed by L.A. Bokut and L.-S. Shiao \citebs01. In this paper, we give an example to show that the conjecture is not true in general. We list all possible nontrivial inclusion compositions when we deal with the general cases of the Coxeter groups. We give a Gröbner-Shirshov basis of a Coxeter group which is without nontrivial inclusion compositions mentioned the above.