Gröbner-Shirshov bases for Schreier extensions of groups

نویسنده

  • Yuqun Chen
چکیده

In this paper, by using the Gröbner-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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تاریخ انتشار 2008