Professor Derek Holt
Derek HoltProfessor of Mathematics Office: B1.27 |
Teaching Responsibilities 2015/16:
Term 1: MA442 Group Theory
Term 2: MA106 Linear Algebra (for MORSE, Maths/Physics, Discrete Maths students)
Reseach Interests:
Group theory, computational algebra
Selected recent publications:
Holt D, with Eick B, O'Brien E. Handbook of Computational group Theory. (536 pages), CRC Press, 2005.
Holt D, Epstein D B A. The linearity of the conjugacy problem in word hyperbolic groups. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION,16,(2006),287-305
Holt D, O'Brien E. A computer assisted analysis of some matrix groups. JOURNAL OF ALGEBRA,300,(2006),199-212
Holt D, Hermiller S, Rees S. Star-free geodesic languages for groups. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION,17,(2007),329-345
Gilman R H, Holt D, Hermiller S, Rees S. A characterization of virtually free groups. ARCHIV DER MATHEMATIK,89,(2007),289-295
Holt D, Owens M D, Thomas, R M. Groups and semigroups with a one-counter word problem. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,85,(2008),197-209.
Holt D, Roney-Dougal C M. Constructing maximal subgroups of orthogonal groups. L.M.S. ELECTRONIC JOURNAL OF COMPUTATION AND MATHEMATICS,13,(2010),164-191.
Havas G, Holt D. On Coxeter's families of group presentations.JOURNAL OF ALGEBRA,324,(2010),1076-1082.
Holt D, Rees S, Artin groups of large type are shortlex automatic with regular geodesics. PROC. LONDON MATH. SOC. 104 (2012), 486—512.
Bray J N, Holt D, Roney-Dougal C M, The Maximal Subgroups of the Low-Dimensional Finite Classical Groups (London Mathematical Society Lecture Note Series) (2013).
Holt D, Roney-Dougal C M, Minimal and random generation of permutation and matrix groups, JOURNAL OF ALGEBRA 387 (2013), 195-223.
Research grants:
LMS, Visit of Prof S Hermiller (May 2006)
LMS, Visit of Prof E A O'Brien (July 2007)
LMS, Visit of Prof E A O'Brien (September 2011)
For more information and further publications see Derek Holt's homepage