66 citations · 122 across the 22 of their papers we have counts for
17 papers · 1 filter
Generalising Collins' Theorem
James Howie, Hamish Short
We generalise a result of D. J. Collins on intersections of conjugates of Magnus subgroups of one-relator groups to the context of one-relator products of locally indicable groups.
On singular equations over torsion-free groups
Martin Edjvet, James Howie
We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-fr…
Coherence and one-relator products of locally indicable groups
James Howie, Hamish Short
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 gro…
Generalised triangle groups of type (2,3,2) with no cyclic essential representations
James Howie, Olexandr Konovalov
A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verif…
Non-triviality of some one-relator products of three groups
Ihechukwu Chinyere, James Howie
In this paper we study a group G which is the quotient of a free product of three non-trivial groups by the normal closure of a single element. In particular we show that if the re…
Tadpole Labelled Oriented Graph Groups and Cyclically Presented Groups
James Howie, Gerald Williams
We study a class of Labelled Oriented Graph (LOG) group where the underlying graph is a tadpole graph. We show that such a group is the natural HNN extension of a cyclically presen…