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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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 > 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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