Details:
| Title | Gr\"obner-Shirshov bases for some one-relator groups. | | Author(s) | Yu-Fu Chen, Chanyan Zhong | | Type | Article in Journal | | Abstract | 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 Higman-Neumann-Neumann embedding theorem.
| | Keywords | | | ISSN | 1005-3867; 0219-1733/e |
| URL |
http://www.worldscientific.com/doi/abs/10.1142/S1005386712000077 |
| Language | English | | Journal | Algebra Colloq. | | Volume | 19 | | Number | 1 | | Pages | 99--116 | | Publisher | World Scientific, Singapore; Chinese Academy of Sciences, Academy of Mathematics & Systems Science, | | Year | 2012 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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