arXiv 0804.06412008-04-04math.GR

Groebner-Shirshov bases for Schreier extensions of groups

Yuqun Chen

发表信息：: Comm. Algebra, 36(5)(2008), 1609-1625.
DOI：: 10.1080/00927870701869899

英文摘要：

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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