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Morse theory and finiteness properties of groups

- M. Bestvina, N. Brady
- Mathematics
- 1 August 1997

Abstract. We examine the finiteness properties of certain subgroups of “right angled” Artin groups. In particular, we find an example of a group that is of type FP(Z) but is not finitely presented.

MPEG-4 standardized methods for the compression of arbitrarily shaped video objects

- N. Brady
- Computer ScienceIEEE Trans. Circuits Syst. Video Technol.
- 1 December 1999

TLDR

Branched Coverings of Cubical Complexes and Subgroups of Hyperbolic Groups

- N. Brady
- Mathematics
- 1 October 1999

By considering branched coverings of piecewise Euclidean cubical complexes, the paper provides an example of a torsion free hyperbolic group containing a finitely presented subgroup which is not… Expand

Context-based arithmetic encoding of 2D shape sequences

- N. Brady, F. Bossen, N. Murphy
- Computer ScienceProceedings of International Conference on Image…
- 26 October 1997

TLDR

The Geometry of the Word Problem for Finitely Generated Groups

Dehn Functions and Non-Positive Curvature.- The Isoperimetric Spectrum.- Dehn Functions of Subgroups of CAT(0) Groups.- Filling Functions.- Filling Functions.- Relationships Between Filling… Expand

There is only one gap in the isoperimetric spectrum

- N. Brady, M. Bridson
- Mathematics
- 1 December 2000

Abstract. The closure of the set of isoperimetric exponents for finitely presented groups is
$ \{1\} \cup [2,\infty $. For each pair of positive integers
$ p \ge q $, one can construct groups with… Expand

Rigidity of Coxeter Groups and Artin Groups

- N. Brady, Jon McCammond, B. Mühlherr, W. Neumann
- Mathematics
- 1 October 2002

A Coxeter group is rigid if it cannot be defined by two nonisomorphic diagrams. There have been a number of recent results showing that various classes of Coxeter groups are rigid, and a particularly… Expand

On Algebraic and Geometric Dimensions for Groups with Torsion

- N. Brady, I. Leary, B. Nucinkis
- Mathematics
- 1 October 2001

Various notions of dimension for discrete groups are compared. A group is exhibited that acts with finite stabilizers on an acyclic 2‐complex in such a way that the fixed point subcomplex for any… Expand

Finite Subgroups Of Hyperbolic Groups

- N. Brady
- MathematicsInt. J. Algebra Comput.
- 1 August 2000

We prove that every finite subgroup of a hyperbolic group G can be conjugated to a 2δ+1 neighborhood of the identity element, where δ is the hyperbolicity constant for G with respect to a given… Expand

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