25. M.Elder,

What is a self-similar group?

submitted
24. M. Elder, G. Elston, G. Ostheimer,
On groups that have normal forms computable in logspace.
http://arxiv.org/abs/1201.4363

23. M. Elder, A. Rechnitzer, T. Wong,
On the cogrowth of Thompson's group F.
http://arxiv.org/abs/1108.1596


to appear
22. M. Bridson, J. Burillo, M. Elder, Z. Sunic,
On groups whose geodesic growth is polynomial.
To appear in IJAC
http://arxiv.org/abs/1009.5051


published
21. M. Elder,
A linear time algorithm to compute geodesics in solvable Baumslag-Solitar groups.
Illinois Journal of Mathematics 54 (2010) Number 1 pages 109–128
http://arxiv.org/abs/0903.0216

20. M. Elder, A. Rechnitzer,
Some geodesic problems for finitely generated groups.
Groups, Complexity, Cryptology 2 (2010) Issue 2 pages 223–229
http://arxiv.org/abs/0907.3258

19. M. Elder, E. Fusy, A. Rechnitzer,
Counting elements and geodesics in Thompson's group F.
Journal of Algebra 324 (2010) Issue 1 pages 102-121 (Computational Algebra)
Includes sequences A156945 and A156946
http://arxiv.org/abs/0902.0202

18. S. Cleary, M. Elder, A. Rechnitzer, J. Taback,
Random subgroups of Thompson's group F.
Groups, Geometry, Dynamics 4 (2010) Issue 1 pages 91-126. Includes sequence A111713
http://arxiv.org/abs/0711.1343

17. W. Dison, M. Elder, T. Riley, R. Young,
The Dehn function of Stallings' group.
Geometric and Functional Analysis 19 (2009) Number 2 pages 406-422.
http://arxiv.org/abs/0712.3877

16. M. Elder, M. Kambites and G. Ostheimer,
On groups and counter automata.
International Journal of Algebra and Computation 18 (2008) Issue 8 pages 1345 - 1364.
http://arxiv.org/abs/math/0611188

15. M. Elder,
Permutations generated by a stack of depth 2 and an infinite stack in parallel.
Electronic Journal of Combinatorics 13 (2006) Issue 1 article R68. Includes permutations P0015.
http://arxiv.org/abs/math/0510244

14. M. Elder,
G-automata, counter languages and the Chomsky hierarchy.
Proceedings of Groups St Andrews 2005, London Math. Soc. Lecture Note Ser. 339  (2007).
http://arxiv.org/abs/math/0508166

13. S. Cleary, M. Elder and J. Taback,
Cone types and geodesic languages for lamplighter groups and Thompson's group F.
Journal of Algebra 303 (2006) Issue 2 pages 476-500
http://arxiv.org/abs/math.GR/0410616

12. M.H. Albert, M. Elder, A. Rechnitzer, P. Westcott and M. Zabrocki,
On the Stanley-Wilf limit of 4231-avoiding permutations and a conjecture of Arratia.
Advances in Applied Mathematics 36(2) Special Issue on Pattern Avoiding Permutations (2006) pages 96-105. Includes sequence A061552.
http://arxiv.org/abs/math.CO/0502504

11. M. Elder,
Regular languages and the falsification by fellow traveler property.
Algebraic and Geometric Topology 5 (2005), paper no. 8, pages 129-134.
http://arxiv.org/abs/math/0411168

10. M. Elder,
A context-free and a 1-counter geodesic language for a Baumslag-Solitar group.
Theoretical Computer Science 339 (2005), Issues 2-3, 344--371
http://arxiv.org/abs/math/0411166

9. M. Elder and S. Hermiller,
Minimal almost convexity.
Journal of Group Theory 8 (2005), no. 2, 239--266. PDF (305k)

8. M. Elder and J. McCammond,
CAT(0) is an algorithmic property.
Geometriae Dedicata Vol 107 No. 1 (2004) 25--46
http://arxiv.org/abs/math/0301056

7. M. Elder,
L_δ groups are almost convex and have sub-cubic Dehn function.
Algebraic and Geometric Topology Vol 4 (2004) 23--29
http://arxiv.org/abs/math/0402205

6. M. Elder,
A non-Hopfian almost convex group.
Journal of Algebra Vol 271, No. 1 (2004) 11--21
http://arxiv.org/abs/math/0611874

5. M. Elder,
The loop shortening property and almost convexity.
Geometriae Dedicata Vol 102 No. 1 (2003) 1--18
http://arxiv.org/abs/math/0611877

4. M. Elder, J. McCammond and J. Meier,
Combinatorial conditions that imply word-hyperbolicity for 3-manifolds.
Topology Volume 42, Issue 6, (2003) 1241--1259
http://arxiv.org/abs/math/0301057

3. M. Elder,
Patterns theory and geodesic automatic structure.
International Journal of Algebra and Computation Vol 13, No 2 (2003) 203--230
http://arxiv.org/abs/math/0611876

2. M. Elder and J. McCammond,
Curvature testing in 3-dimensional metric polyhedral complexes.
Experimental Mathematics Vol 11, No 1 (2002) 143--158 PDF

1. M. Elder,
Finiteness and the falsification by fellow traveler property.
Geometriae Dedicata Vol 95 (2002) 103--113.
http://arxiv.org/abs/math/0611873


theses
Automaticity, almost convexity and falsification by fellow traveler properties of some finitely presented groups.
PhD Thesis, The University of Melbourne, 2000. PDF (1752k)

Coxeter groups and the Moussong Complex.
MSc Thesis, The University of Melbourne, 1996. PDF (345k)


books edited
José Burillo, Sean Cleary, Murray Elder, Jennifer Taback and Enric Ventura (eds)
Geometric methods in group theory.
Contemporary Mathematics 327, American Mathematical Society, Providence, RI, 2005.