- 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

- D. E. Taylor,
Reflection subgroups of finite complex reflection groups,
J. Algebra
**366**, 218–234 (2012) - Muraleedaran Krishnasamy and D. E. Taylor,
Embeddings of complex line systems and finite reflection groups,
J. Aust. Math. Soc.
**85**, 211–228 (2008) - 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,
Constructing the split octonions, in: Discovering Mathematics
with Magma. Reducing the Abstract to the Concrete, Wieb Bosma and John Cannon
(eds.), Algorithms and Computation in Mathematics
**19**, (Springer, Berlin, 2006), 161–185. -
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)

- (with Gustav I. Lehrer)
Unitary Reflection Groups,
Australian Mathematical Society Lecture Series
**20**, (Cambridge University Press, Cambridge 2009), viii + 294 pp.**Errata:**as a PDF file. A revised proof of Corollary A.10 is available separately as part of a short note on the dimension of affine domains. - (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.]

**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.
- Documentation and source code for simple extensions of reflection subgroups of unitary reflection groups.
- Documentation and
source code
for the complement of a parabolic subgroup of a unitary reflection group
in its normaliser.
**Syntax highlighting**-
- TeX and LaTeX – Literate Magma programming
- gedit (Linux/unix) – magma.lang
- TextWrangler (MacOS) – Magma.plist
- jedit (Java VM) – magma.xml

**Mathematica**- A package for computing with finite Weyl groups. Source code.

Last change: 28 July 2010.