Derek Holt
Research Interests
Group Theory
Computational Group Theory
Finitely Presented Groups, Geometric Group Theory
Automatic Groups
Finite Permutation Groups
Finite Matrix Groups, Representation Theory
Cohomology of Finite Groups
Publications
Pdf and dvi files for some of my recent papers and joint papers
can be downloaded from
here.
The book
Groups, Languages and Automata
by myself, Sarah Rees and Claas Röver has recently been published
by
Cambridge University Press as London Mathematical Society Student
Texts Series.
Click
here
to read more about it and to order yourself a copy.
Or click
here
to see a list of errors and misprints that have come to light.
The book
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
by myself, John Bray and Colva Roney-Dougal has recently been published
by
Cambridge University Press as London Mathematical Society Lecture Notes
407.
Click here
to read more about it and to order
yourself a copy.
Or click
here
to see a list of errors and misprints that have come to light.
The Handbook of Computational Group Theory
by myself, Bettina Eick
and Eamonn O'Brien,
published by Chapman & Hall/CRC, appeared in January 2005.
Click here to read more about it and to order
yourself a copy.
Or click
here
to see a list of errors and misprints that have come to light.
Editorial Activities
I am on the editorial board of the journals:
Experimental Mathematics,
Journal of Algebra,
Software
The following standalone software can be downloaded:
kbmag2
- Version 2 of a recent package for Knuth-Bendix in monoids, and automatic
groups.
This is now also avaialable as a
GAP4 package, and is
also implemented in Magma.
isom_quotpic
(written with S Rees) - a package for isomorphism testing between finitely
presented groups, and for plotting parts of the finite quotient lattice
(using X-windows) of a finitely presented group.
I have contributed a substantial body of package code to Magma.
See here for
further details.
Other Software
Cohomology
My cohomology package, for calculating Schur multipliers and covering
groups of finite groups, and first and second cohomology groups of finite
groups on finite modules, is available as a standalone on request.
However, it is now accessible from both of the systems
GAP and
Magma,
and is probably best accessed from one of them.
Derek Holt, Room B1.27,
Mathematics Institute,
University of Warwick,
Coventry CV4 7AL, UK.
Phone: +44 2476 523480
Fax: +44 2476 524182
Email: D.F.Holt@warwick.ac.uk