Groebner-Shirshov bases for Schreier extensions of groups
Group Theory
2009-03-04 v1
Abstract
In this paper, by using the Groebner-Shirshov bases, we give characterizations of the Schreier extensions of groups when the group is presented by generators and relations. An algorithm to find the conditions of a group to be a Schreier extension is obtained. By introducing a special total order, we obtain the structure of the Schreier extension by an HNN group.
Cite
@article{arxiv.0804.0641,
title = {Groebner-Shirshov bases for Schreier extensions of groups},
author = {Yuqun Chen},
journal= {arXiv preprint arXiv:0804.0641},
year = {2009}
}