Don Taylor – Publications

Higher Degrees:

• 1968 Monash University: MSc.
  Thesis: Characterizations of some groups of even order
  Supervisor: Professor Z. Janko
• 1972 University of Oxford: D. Phil.
  Thesis: Some topics in the theory of finite groups (actually, it was about 2-graphs)
  Supervisor: Professor G. Higman

Recent Publications

• David Abelson, Seokhee Hong and D. E. Taylor, Geometric automorphism groups of graphs Discrete Appl. Math. 155, 2211-2226 (2007)

• Arjeh M. Cohen and D. E. Taylor, On a certain Lie algebra defined by a finite group Amer. Math. Monthly 114, 633--639 (2007)

• D. E. Taylor, Firmness, Commodity and Delight, Aust. Math. Soc. Gazette 32, 298-301 (2005)

• Arjeh Cohen, Scott Murray and D. E. Taylor, Computing in groups of Lie type, Mathematics of Computation 73, 1477-1498 (2004)

• The 1987 report "Pairs of Generators for Matrix Groups, I" on generators for linear, unitary and symplectic groups which appeared in the Cayley Bulletin is available in PDF format. (187KB)

Books

• (with Koo-Guan Choo) Introduction to Discrete Mathematics, (Longman Cheshire, Melbourne 1994), ix + 148 pp.

• The Geometry of the Classical Groups, Sigma Series in Pure Mathematics, Volume 9 (Heldermann Verlag, Berlin 1992), xii + 239 pp. MR 94d:20028. Available from:

  Heldermann-Verlag.
  Langer Graben 13d
  32657 Lemgo
  Germany
  

  Errata: as a PDF file

• (with Leanne Rylands) Mastering Rubik's Clock, (Simon & Schuster, 1988)

• (with Leanne Rylands) Cube Games, (Greenhouse Publications, Melbourne; Holt, Rinehart and Winston, New York; etc. 1981) [Reached No. 6 on New York Times Best Sellers list.]

• Mastering Rubik's Cube, (Book Marketing Australia, Melbourne; Penguin, London; etc. 1980) [Reached No. 1 on New York Times Best Sellers list.]

Programming examples

Java

Catalan structures: Binary trees, planar trees, polygon triangulations and balanced brackets. Source code.

JavaScript

The 14-15 Puzzle

Magma

Finite irreducible unitary reflection groups. Source code.

 

My packages for Coxeter groups and Lie algebras are now part of the Magma distribution.

 

Literate Magma programming: TeX and LaTeX macros for typesetting Magma source code with syntax highlighting.

Mathematica

A package for computing with finite Weyl groups. Source code.