Coherence and one-relator products of locally indicable groups

James Howie, Hamish Short

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We extend several results of Helfer, Wise, Louder and Wilton related to coherence in one-relator groups to the more general setting of one-relator products of locally indicable groups. The methods developed to do so also give rise to a new proof of a theorem of Brodskiĭ.
Original languageEnglish
Pages (from-to)1085-1113
Number of pages29
JournalGroups, Geometry, and Dynamics
Issue number3
Early online date5 Jul 2023
Publication statusPublished - 1 Aug 2023


  • Coherent
  • locally indicable
  • one-relator product

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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