66 citations · 152 across the 10 of their papers we have counts for
10 papers
Complete Embeddings of Groups
Martin R. Bridson, Hamish Short
Every countable group can be embedded in a finitely generated group that is hopfian and complete, i.e. has trivial centre and every epimorphism is an i…
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.
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…
The homeomorphism problem for closed 3-manifolds
Peter Scott, Hamish Short
We give a more geometric approach to an algorithm for deciding whether two hyperbolic 3-manifolds are homeomorphic. We also give a more algebraic approach to the homeomorphism prob…
On the finite presentation of subdirect products and the nature of residually free groups
Martin R. Bridson, James Howie, Charles F. Miller +1
We establish {\em{virtual surjection to pairs}} (VSP) as a general criterion for the finite presentability of subdirect products of groups: if are finitely presented…
Finitely presented residually free groups
Martin R. Bridson, James Howie, Charles F. Miller +1
We establish a general criterion for the finite presentability of subdirect products of groups and use this to characterize finitely presented residually free groups. We prove that…