ترغب بنشر مسار تعليمي؟ اضغط هنا

Groebner-Shirshov basis for HNN extensions of groups and for the alternating group

123   0   0.0 ( 0 )
 نشر من قبل Yuqun Chen
 تاريخ النشر 2008
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

In this paper, we generalize the Shirshovs Composition Lemma by replacing the monomial order for others. By using Groebner-Shirshov bases, the normal forms of HNN extension of a group and the alternating group are obtained.



قيم البحث

اقرأ أيضاً

151 - L. A. Bokut , Y. Fong , W.-F. Ke 2008
We found Groebner-Shirshov basis for the braid semigroup $B^+_{n+1}$. It gives a new algorithm for the solution of the word problem for the braid semigroup and so for the braid group.
186 - Yuqun Chen , Jianjun Qiu 2008
In this paper, a Groebner-Shirshov basis for the Chinese monoid is obtained and an algorithm for the normal form of the Chinese monoid is given.
166 - L. A. Bokut 2008
In this paper, we give a Groebner-Shirshov basis of the braid group $B_{n+1}$ in the Artin--Garside generators. As results, we obtain a new algorithm for getting the Garside normal form, and a new proof that the braid semigroup $B^+{n+1}$ is the subsemigroup in $B_{n+1}$.
168 - L. A. Bokut 2008
In this paper, we obtain Groebner-Shirshov (non-commutative Grobner) bases for the braid groups in the Birman-Ko-Lee generators enriched by new ``Garside word $delta$. It gives a new algorithm for getting the Birman-Ko-Lee Normal Form in the braid gr oups, and thus a new algorithm for solving the word problem in these groups.
122 - Yuqun Chen , Chanyan Zhong 2008
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 the effective standard normal form. We give an example to show how to deal with some general cases for one-relator groups. By using the Magnus method and Composition-Diamond Lemma, we reprove the G. Higman, B. H. Neumann and H. Neumanns embedding theorem.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا