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arXiv · 0804.0641

Groebner-Shirshov bases for Schreier extensions of groups

Yuqun Chen
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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.

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Yuqun Chen. 2008-04-04. Groebner-Shirshov bases for Schreier extensions of groups. https://doi.org/10.1080/00927870701869899

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