Groebner-Shirshov bases for Schreier extensions of groups

Details Groebner-Shirshov bases for Schreier extensions of groups Groebner-Shirshov bases for Schreier extensions of groups

2008-04-04

arxiv.org/abs/0804.0641v1

Comm. Algebra, 36(5)(2008), 1609-1625.

Mathematics

Group Theory

Scientific paper

10.1080/00927870701869899

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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