J. Howie

activity

20052008

most citedFinitely presented residually free groups

15 citations · 18 across the 4 of their papers we have counts for

collaborators

5 papers

math.GR2008

A remark on double cosets

James Howie

If a soluble group $G$ contains two finitely generated abelian subgroups $A, B$ such that the number of double cosets $A g B$ is finite, then $G$ is shown to be virtually polycyclic.

math.GR2008★ 15 cited

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…

math.GT2007

Winding numbers and SU(2)-representations of knot groups

Dylan Bowden, James Howie

Given an abelian group $A$ and a Lie group $G$ , we construct a bilinear pairing from $A \times π_{1} (R)$ to $π_{1} (G)$ , where $R$ is a subvariety of the variety of re…

math.GR2007★ 3 cited

Subgroups of direct products of limit groups

Martin R Bridson, James Howie, Charles F Miller +1

If $G_{1}, ..., G_{n}$ are limit groups and $S \subset G_{1} \times ... \times G_{n}$ is of type $\FP_n(\mathbb Q)$ then $S$ contains a subgroup of finite index that is itself a direct product o…

math.GR2005

Normalisers in Limit Groups

Martin R Bridson, James Howie

Let $\G$ be a limit group, $S\subset\G$ a subgroup, and $N$ the normaliser of $S$ . If $H_{1} (S, Q)$ has finite $\Q$-dimension, then $S$ is finitely generated and either $N / S$ …