On one-relator products induced by generalised triangle groups II

Ihechukwu Chinyere, James Howie

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
29 Downloads (Pure)


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 languageEnglish
Pages (from-to)1464-1475
Number of pages12
JournalCommunications in Algebra
Issue number4
Early online date21 Aug 2017
Publication statusPublished - 3 Apr 2018


  • One-relator group
  • , generalised triangle groups
  • Pictures

ASJC Scopus subject areas

  • Mathematics(all)


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