Groebner-Shirshov bases for some one-relator groups

Details Groebner-Shirshov bases for some one-relator groups Groebner-Shirshov bases for some one-relator groups

2008-04-04

arxiv.org/abs/0804.0643v2

Mathematics

Group Theory

18 pages

Scientific paper

In this paper, we prove that two-generator one-relator groups with depth less than or equal to 3 can be effectively embedded into a tower of HNN-extensions in which each group has the effective standard normal form. We give an example to show how to deal with some general cases for one-relator groups. By using the Magnus method and Composition-Diamond Lemma, we reprove the G. Higman, B. H. Neumann and H. Neumann's embedding theorem.

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