On one-relator products induced by generalised triangle groups II

Ihechukwu Chinyere; James Howie

doi:10.1080/00927872.2017.1346772

On one-relator products induced by generalised triangle groups II

Ihechukwu Chinyere, James Howie

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2 Citations (Scopus)

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Abstract

This is the second of two papers in which we study a group which is the quotient of a free product of groups by the normal closure of a single word that is contained in a subgroup which has the form of a free product of two cyclic groups. We use known properties of generalised triangle groups, together with detailed analysis of pictures and of words in free monoids, to prove a number of results such as a Freiheitssatz and the existence of Mayer-Vietoris sequences for such groups under suitable hypotheses. The results eneralise those in an earlier article of the second author and Shwartz.

Original language	English
Pages (from-to)	1464-1475
Number of pages	12
Journal	Communications in Algebra
Volume	46
Issue number	4
Early online date	21 Aug 2017
DOIs	https://doi.org/10.1080/00927872.2017.1346772
Publication status	Published - 3 Apr 2018

Keywords

One-relator group
, generalised triangle groups
Pictures

ASJC Scopus subject areas

General Mathematics

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10.1080/00927872.2017.1346772

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This is an Accepted Manuscript of an article published by Taylor & Francis Group in Communications in Algebra on , available online: http://www.tandfonline.com/10.1080/00927872.2017.1346772
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On one-relator products induced by generalised triangle groups II

Abstract

Keywords

ASJC Scopus subject areas

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