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math.GR2009★ 2 cited
Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators
Yuqun Chen, Chanyan Zhong
In this paper, we give a Gröbner-Shirshov basis of the braid group in Adyan-Thurston generators. We also deal with the braid group of type . As results, we ob…
math.GR2008★ 3 cited
Groebner-Shirshov bases for some one-relator groups
Yuqun Chen, Chanyan Zhong
In this paper, we prove that two-generator one-relator groups with depth less than or equal to 3 can be effectively embedded into a tower of HNN-extensions in which each group has…
math.GR2008★ 10 cited
Groebner-Shirshov basis for HNN extensions of groups and for the alternating group
Yuqun Chen, Chanyan Zhong
In this paper, we generalize the Shirshov's Composition Lemma by replacing the monomial order for others. By using Groebner-Shirshov bases, the normal forms of HNN extension of a g…