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arXiv:1804.05325 [math.GR]AbstractReferencesReviewsResources

Structure of words with short 2-length in a free product of groups

Ihechukwu Chinyere

Published 2018-04-15Version 1

Howie and Duncan observed that a word in a free product with length at least two and which is not a proper power 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 one-relator product of groups. In this paper, we show that similar results hold in a more general setting where we allow elements of order two.

Comments: 9 pages, 1 figure
Categories: math.GR
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