35. L. Ciobanu, V. Diekert, M. Elder,Solution sets for equations over free groups are EDT0L languages
34. M. Elder, J. Taback,
Thompson’s group F is 1-counter graph automatic
33. T. Brough, L. Ciobanu, M. Elder,
Permutations of context-free and indexed languages
32. B. Burton, M. Elder, A. Kalka, S. Tillmann,
2-manifold recognition is in logspace
31. M. Elder, G. Lee, A. Rechnitzer,
Permutations generated by a stack of depth 2 and an infinite stack in series are algebraic
Includes sequence A245233
30. J. Burillo, M. Elder,
Metric properties of Baumslag-Solitar groups
29. M. Elder, A. Rechnitzer, E. J. Janse van Rensburg,
Random sampling of trivial words in finitely presented groups.
28. C. Banks, M. Elder, G. Willis,
Simple groups of automorphisms of trees determined by their action on finite subtrees
To appear in Journal of Group Theory
27. N. Davis, M. Elder, L. Reeves,
Non-contracting groups generated by (3,2)-automata.
Algebra and Discrete Mathematics 17 (2014) Number 1 pages 20–32
26. M. Elder, J. Taback,
C-graph automatic groups.
Journal of Algebra 413 (2014) Issue 1 pages 289–319
25. M. Elder, A. Rechnitzer, E. J. Janse van Rensburg, T. Wong,
The cogrowth series for BS(N,N) is D-finite.
Includes sequences A002894 -- A229652
International Journal of Algebra and Computation 24 (2014) Issue 2 pages 171-187
24. M. Elder, G. Elston, G. Ostheimer,
On groups that have normal forms computable in logspace.
Journal of Algebra 381 (2013) Issue 1 pages 260–281
23. M. Elder, A. Rechnitzer, T. Wong,
On the cogrowth of Thompson's group F.
Groups, Complexity, Cryptology 4 (2012) Issue 2 pages 301–320
22. M. Bridson, J. Burillo, M. Elder, Z. Sunic,
On groups whose geodesic growth is polynomial.
International Journal of Algebra and Computation 2 (2012) Number 5
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
20. M. Elder, A. Rechnitzer,
Some geodesic problems for finitely generated groups.
Groups, Complexity, Cryptology 2 (2010) Issue 2 pages 223–229
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
Includes sequences A156945 and A156946
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
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.
16. M. Elder, M. Kambites, G. Ostheimer,
On groups and counter automata.
International Journal of Algebra and Computation 18 (2008) Number 8 pages 1345 - 1364.
15. M. Elder,
G-automata, counter languages and the Chomsky hierarchy.
Proceedings of Groups St Andrews 2005, London Math. Soc. Lecture Note Ser. 339 (2007).
14. M. Elder,
Permutations generated by a stack of depth 2 and an infinite stack in series.
Electronic Journal of Combinatorics 13 (2006) Issue 1 article R68. Includes permutations P0015.
13. S. Cleary, M. Elder, 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
12. M.H. Albert, M. Elder, A. Rechnitzer, P. Westcott, 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.
11. M. Elder,
Regular languages and the falsification by fellow traveler property.
Algebraic and Geometric Topology Vol 5 (2005), paper no. 8, pages 129-134.
10. M. Elder,
A context-free and a 1-counter geodesic language for a Baumslag-Solitar group.
Theoretical Computer Science Vol 339, Issues 2-3 (2005) 344--371
9. M. Elder, S. Hermiller,
Minimal almost convexity.
Journal of Group Theory Vol 8, No 2 (2005) 239--266
8. M. Elder, J. McCammond,
CAT(0) is an algorithmic property.
Geometriae Dedicata Vol 107, No 1 (2004) 25--46
7. M. Elder,
Lδ groups are almost convex and have sub-cubic Dehn function.
Algebraic and Geometric Topology Vol 4 (2004) 23--29
6. M. Elder,
A non-Hopfian almost convex group.
Journal of Algebra Vol 271, No 1 (2004) 11--21
5. M. Elder,
The loop shortening property and almost convexity.
Geometriae Dedicata Vol 102 No 1 (2003) 1--18
4. M. Elder, J. McCammond, J. Meier,
Combinatorial conditions that imply word-hyperbolicity for 3-manifolds.
Topology Vol 42, Issue 6, (2003) 1241--1259
3. M. Elder,
Patterns theory and geodesic automatic structure.
International Journal of Algebra and Computation Vol 13, No 2 (2003) 203--230
2. M. Elder, J. McCammond,
Curvature testing in 3-dimensional metric polyhedral complexes.
Experimental Mathematics Vol 11, No 1 (2002) 143--158
1. M. Elder,
Finiteness and the falsification by fellow traveler property.
Geometriae Dedicata Vol 95 (2002) 103--113.
1. M. Elder, J. McCammond,
homepage; how to use; gap code
2. M. Elder,
A short introduction to self-similar groups.
AustMS Gazette Vol 39, No 3 (2012)
Reprinted in Asia Pacific Mathematics Newsletter, Vol 3, No 1 (2013)
1. M. Elder, V. Vatter
Problems and Conjectures presented at the Third International Conference on Permutation Patterns, University of Florida, March 7-11, 2005.
2. M. Elder,
Automaticity, almost convexity and falsification by fellow traveler properties of some finitely presented groups.
PhD Thesis, The University of Melbourne, 2000.
1. M. Elder,
Coxeter groups and the Moussong Complex.
MSc Thesis, The University of Melbourne, 1996.
1. J. Burillo, S. Cleary, M. Elder, J. Taback and E. Ventura (eds)
Geometric methods in group theory.
Contemporary Mathematics 372, American Mathematical Society, Providence, RI, 2005.
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