Chinyere, Ihechukwu (2019) 'Structure of words with short 2-length in a free product of groups.' Journal of Algebra, 519. 312 - 324. ISSN 0021-8693
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Official URL: 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 |
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Uncontrolled Keywords: | One-relator product, Unique position, Pictures, 2-length |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Science and Health > Mathematical Sciences, Department of |
Depositing User: | Elements |
Date Deposited: | 19 Nov 2018 09:47 |
Last Modified: | 13 Nov 2019 02:00 |
URI: | http://repository.essex.ac.uk/id/eprint/23486 |
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