Groebner-Shirshov bases for some one-relator groups
Group Theory
2012-07-20 v2
Abstract
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. Neumann's embedding theorem.
Cite
@article{arxiv.0804.0643,
title = {Groebner-Shirshov bases for some one-relator groups},
author = {Yuqun Chen and Chanyan Zhong},
journal= {arXiv preprint arXiv:0804.0643},
year = {2012}
}
Comments
18 pages