English

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

Group Theory 2009-03-04 v1

Abstract

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 group and the alternating group are obtained.

Keywords

Cite

@article{arxiv.0804.0642,
  title  = {Groebner-Shirshov basis for HNN extensions of groups and for the alternating group},
  author = {Yuqun Chen and Chanyan Zhong},
  journal= {arXiv preprint arXiv:0804.0642},
  year   = {2009}
}