Derek Holt

Emeritus Professor, Mathematics Institute, University of Warwick

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