Don Taylor

Recent journal articles and book chapters

  1. Jiwei Zheng, Wei Zhou and D. E. Taylor, Groups with few nonpower subgroups, Bulletin of the Australian Mathematical Society, online (2023), 1–12.
  2. Krishnasamy Muraleedaran and D. E. Taylor, Normalisers of parabolic subgroups in finite unitary reflection groups, J. Algebra 504, 479–505 (2018)
  3. D. E. Taylor, Reflection subgroups of finite complex reflection groups, J. Algebra 366, 218–234 (2012)
  4. Krishnasamy Muraleedaran and D. E. Taylor, Embeddings of complex line systems and finite reflection groups, J. Aust. Math. Soc. 85, 211–228 (2008)
  5. David Abelson, Seokhee Hong and D. E. Taylor, Geometric automorphism groups of graphs, Discrete Appl. Math. 155, 2211–2226 (2007)
  6. Arjeh M. Cohen and D. E. Taylor, On a certain Lie algebra defined by a finite group, Amer. Math. Monthly 114, 633–639 (2007)
  7. 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.
  8. D. E. Taylor, Firmness, Commodity and Delight, Aust. Math. Soc. Gazette 32, 298–301 (2005)
  9. Arjeh Cohen, Scott Murray and D. E. Taylor, Computing in groups of Lie type, Mathematics of Computation 73, 1477–1498 (2004)

(Complete List)

Books

  1. (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.
  2. (with Koo-Guan Choo) Introduction to Discrete Mathematics, (Longman Cheshire, Melbourne 1994), ix + 148 pp.
  3. The Geometry of the Classical Groups, Sigma Series in Pure Mathematics, Volume 9 (Heldermann Verlag, Berlin 1992), xii + 239 pp. MR 94d:20028. Errata: as a PDF file
    Available from:
    Heldermann-Verlag
    Langer Graben 13d
    32657 Lemgo
    Germany
  4. (with Leanne Rylands) Mastering Rubik's Clock, (Simon & Schuster, 1988)
  5. (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.]
  6. Mastering Rubik's Cube, (Book Marketing Australia, Melbourne; Penguin, London; etc. 1980) [Reached No. 1 on New York Times Best Sellers list.]

Technical reports

  1. 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)