Chinyere, Ihechukwu (2019) Structure of words with short 2-length in a free product of groups. Journal of Algebra, 519. pp. 312-324. DOI https://doi.org/10.1016/j.jalgebra.2018.11.005
Chinyere, Ihechukwu (2019) Structure of words with short 2-length in a free product of groups. Journal of Algebra, 519. pp. 312-324. DOI https://doi.org/10.1016/j.jalgebra.2018.11.005
Chinyere, Ihechukwu (2019) Structure of words with short 2-length in a free product of groups. Journal of Algebra, 519. pp. 312-324. DOI https://doi.org/10.1016/j.jalgebra.2018.11.005
Abstract
Howie and Duncan observed that a word in a free product with length at least two, which is not a proper power and involves no letter of order two can be decomposed as a product of two cyclic subwords each of which is uniquely positioned. Using this property, they proved various important results about a one-relator product of groups with such word as the relator. In this paper, we show that similar results hold in a more general setting where we allow a certain number of elements of order two.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | One-relator product; Unique position; Pictures; 2-length |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 19 Nov 2018 09:47 |
| Last Modified: | 30 Oct 2024 16:16 |
| URI: | http://repository.essex.ac.uk/id/eprint/23486 |
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