MARTIN R. BRIDSON
Research Papers
Published Papers
I intend to add pages giving the abstracts
for all of the papers in my bibliography.
In the meantime,
here is the mathscinet
page
with reviews.
Electronic Preprints
Some of these papers have not yet appeared
in the literature. The ones from recent years are on the arXiv.
Clicking on the title of a paper will take you to a page
from which you can download the paper in at least one format. The
page for each paper also contains an abstract of the paper.
I plan to rearrange this list of preprints, grouping
them by subject as well as date, so that they are easier to find.
My arXiv page is:
ArXiv
. That is the best way to keep up with the papers that I have posted.
Most recent

The complexity of balanced presentations and the AndrewsCurtis conjecture.
(under review)

Profinite rigidity, fibering, and the figureeight knot.
(with A.W. Reid; to appear in volume dedicated to Bill Thurston)

The strong profinite genus of a finitely presented group can be infinite
(to appear in JEMS)

Cube complexes, subgroups of mapping class groups, and nilpotent genera
(Notes based on Clay Lecture. To
appear in IAS/PCMI volume on Geometric Group Theory)
With Henry Wilton

The triviality problem for profinite completions
(Inventiones)

The isomorphism problem for profinite completions of residually finite groups
(Groups, Geometry & Dynamics)

Decidability and the developablity of permutoids and rigid pseudogroups
(Sigma)

On the recognition problem for virtually special cube complexes
(to appear in a volume of the Japan Math Soc)
With Dessilava Kochloukova

The virtual first betti number of soluble groups
(Pacific Journal)

Volume gradients and homology in towers of residuallyfree groups
(to appear in Math Ann)
With Alan Reid

Nilpotent completions of groups, Grothendieck pairs, and four problems of Baumslag.
(IMRN)
New in 2012

Determining Fuchsian groups by their finite quotients
(with Marston Conder and Alan Reid; to appear in Israel J)

Dimension of elementary amenable groups.
(with Peter Kropholler; in Crelle)

Actions of arithmetic groups on homology spheres and acyclic homology Manifolds.
(with F. Grunewald and K. Vogtmann; in Math Z)

On the Subgroups of Right Angled Artin Groups and Mapping Class Groups.
(in Math Res Lett)

On the finite presentation of subdirect products and the nature of residually free groups.
(with J. Howie. C.F. Miller, H.B. Short; in Amer J Math)
New or updated in 2011

The rhombic dodecahedron and semisimple actions of Aut(F_n) on CAT(0) spaces

On the algorithmic
construction of classifying spaces and the isomorphism problem for biautomatic groups
(with Lawrence Reeves)

New in 2010

The Dehn functions of Out(F_n) and Aut (F_n)
(with Karen Vogtmann)

On the difficulty of presenting finitely
presentable groups
(with Henry Wilton)

Abelian covers of
graphs and maps between outer automorphism groups
of free groups
(with Karen Vogtmann)

Actions of higherrank lattices on free groups
(with Richard D Wade)

Cofinitely Hopfian groups,
open mappings and knot complements
(with D.Groves, J.A.~Hillman, and G.J.~Martin)
New or updated in 2009

Semisimple actions of
mapping class groups on CAT(0) spaces.

On the dimension
of CAT(0) spaces where
mapping class groups can act.
New or updated in 2008

Finitely presented residually free groups
(with Jim Howie, Chuck Miller and Hamish Short)

The quadratic isoperimetric inequality for mapping tori
of freegroup automorphisms
(with Daniel Groves)
This 188 page memoir is the final account of our
longrunning project to prove the
theorem in the title.
The final manuscript is a compilation of the three previous
papers by the same authors that are described below.

Actions of automorphism groups of free groups on homology
spheres and acyclic manifolds
(with Karen Vogtmann)

Three papers on decision problems and profinite completions of groups

The Chabauty space of closed subgroups of the threedimensional
Heisenberg group
(with Pierre de la Harpe and Victor Klepstyn)
New in 2007

Infinite Groups with Fixed Point Properties
(with G.Arzhantseva, T.Januszkiewicz, I.J.Leary, A.Minasyan, J.Swiatkowski)

Subgroups of Direct Products of Limit Groups
(with Jim Howie, Chuck Miller and Hamish Short)

Structure and finiteness properties of subdirect products of groups
(with Chuck Miller)

Subgroup separability in residually free groups
(with Henry Wilton)

Constructing presentations of subgroups of rightangled Artin groups
(with Michael Tweedale)
My article for the proceedings of ICM2006

Nonpositive curvature and complexity for
finitely presented groups
New in 2006

The quadratic isoperimetric inequality for mapping tori
of freegroup automorphisms II: the general case
(with Daniel Groves)

Snowflake groups, PerronFrobenius eigenvalues, and isoperimetric spectra
(with Noel Brady, Max Forester, Krishnan Shankar)

Deficiency and abelianized deficiency of some virtually free groups
(with Michael Tweedale)

Quasiregular selfmappings of manifolds and word hyperbolic groups
(with Aimo Hinkkanen and Gaven Martin)

A condition that prevents groups from acting nontrivially on trees
New in 2005

Extrinsic versus intrinsic diameter for Riemannian
filling discs and van Kampen diagrams
(with Tim Riley)

Free and fragmenting filling length
(with Tim Riley)

Subdirect products of two limit groups
(with Jim Howie)

Freegroup automorphisms, train tracks, and the Beaded Decomposition
(with Daniel Groves)

Automorphisms groups of free, surface, and free abelian groups
(with Karen Vogtmann)

Normalizers in Limit Groups
(with Jim Howie)

Subgroups of direct products of elementarily free groups
(with Jim Howie)

Lecture Notes from Cannonfest, Park City 2003

Limit groups, positivegenus towers
and measure equivalence
(with M.Tweedale and H.Wilton)
From 2003 and 2004

Grothendieck's problems concerning profinite
completions and representations of groups
(with Fritz Grunewald)

Conjugacy of finite subsets in hyperbolic groups
(with James Howie)

On the growth of groups and automorphisms

Mapping Class Groups and Outer Automorphism Groups
of Free Groups are C* Simple
(with Pierre de la Harpe)

A note on the grammar of combings
New or updated in 2002

The Quadratic Isoperimetric Inequality for
Mapping Tori of FreeGroup Automorphisms I:
Positive Automorphisms
(with Daniel Groves)

The Geometry of the Word Problem

The conjugacy and isomorphism problems for combable
groups

Recognition of subgroups of direct products of hyperbolic groups
(with Chuck Miller)

Homomorphisms from automorphism groups of free
groups
(with
Karen Vogtmann)
2001 or Earlier

There is only one gap in the isoperimetric spectrum
(with Noel Brady)

On the subgroups of semihyperbolic groups

The Symmetries of Outer space
(with Karen Vogtmann)

Combings of Groups and the Grammar of Reparameterisation

Finiteness Properties for Subgroups of GL$(n,\Bbb Z)$

Polynomial Dehn Functions and the Length of Asynchronously Automatic
Structures

ContextFree Languages of SubExponential Growth
(with Bob Gilman)

The Automorphisms of Automorphism Groups of Free Groups
(with Karen Vogtmann)

Length Functions, Curvature and the
Dimension of Discrete Groups

A Remark About Actions of Lattices on Free Groups
(with Benson Farb)

The Subgroups of Direct Products of Surface Groups
(with Jim Howie, Chuck Miller and Hamish Short)

Finite presentation of fibre products of metabelian groups
(with Gilbert Baumslag, Derek Holt
and Chuck Miller)
My PhD Thesis

Geodesics and curvature in metric simplicial complexes
This is a large file (4MB) because it is a scan.