Charles Leedham-Green

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Charles Leedham-Green
Charles Leedham-Green
Born Peebles, Scotland
Residence Flag of the United Kingdom.svg UK
Alma mater University of Oxford
Known for Work on pro-p groups and computational group theory
Scientific career
Fields Mathematician
Doctoral advisor Kenneth Gravett

Charles R. Leedham-Green is a retired professor of mathematics at Queen Mary, University of London, known for his work in group theory. He completed his DPhil at the University of Oxford.[1]

Along with Leonard Soicher, Leedham-Green designed the product replacement algorithm;[2] an algorithm within computational group theory that generates random elements of groups by taking a random walk through the group. This algorithm has been implemented in both GAP and MAGMA.

He is responsible for a great body of work in group theory. In recent times, this has involved research in computational group theory and pro-p groups.

The 300th edition of the Journal of Algebra was dedicated to him for his 65th birthday.[3] On the occasion of his retirement in 2006, the Mathematics Research Centre at Queen Mary held a conference in celebration of his mathematical achievements.[4]

Selected publications

  • Charles R. Leedham-Green, Leonard H. Soicher: Collection from the Left and Other Strategies. J. Symb. Comput. 9(5/6): 665–675 (1990)
  • Charles R. Leedham-Green, Cheryl E. Praeger, Leonard H. Soicher: Computing with Group Homomorphisms. J. Symb. Comput. 12(4/5): 527–532 (1991)
  • Derek F. Holt, C. R. Leedham-Green, E. A. O'Brien and Sarah Rees: Testing Matrix Groups for Primitivity. Journal of Algebra, Volume 184, Issue 3, 15 September 1996, Pages 795–817
  • Derek F. Holt, C. R. Leedham-Green, E. A. O'Brien and Sarah Rees: Computing Matrix Group Decompositions with Respect to a Normal Subgroup. Journal of Algebra, Volume 184, Issue 3, 15 September 1996, Pages 818–838.
  • C. R. Leedham-Green and E. A. O'Brien: Tensor Products are Projective Geometries. Journal of Algebra, Volume 189, Issue 2, 15 March 1997, Pages 514–528
  • Robert Beals, Charles R. Leedham-Green, Alice C. Niemeyer, Cheryl E. Praeger, Ákos Seress: Permutations With Restricted Cycle Structure And An Algorithmic Application. Combinatorics, Probability & Computing 11(5): (2002)
  • C. R. Leedham-Green and E. A. O'Brien: Recognising tensor-induced matrix groups. Journal of Algebra, Volume 253, Issue 1, 1 July 2002, Pages 14–30
  • Nigel Boston and Charles Leedham-Green: Explicit computation of Galois p-groups unramified at p. Journal of Algebra, Volume 256, Issue 2, 15 October 2002, Pages 402–413.
  • Charles Leedham-Green and Sue McKay: The Structure of Groups of Prime Power Order (2002)
  • John J. Cannon, Bettina Eick, Charles R. Leedham-Green: Special polycyclic generating sequences for finite soluble groups. J. Symb. Comput. 38(5): 1445–1460 (2004)
  • Robert Beals, Charles R. Leedham-Green, Alice C. Niemeyer, Cheryl E. Praeger and Ákos Seress: Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules. Journal of Algebra, Volume 292, Issue 1, 1 October 2005, Pages 4–46
  • S.P. Glasby, C.R. Leedham-Green and E.A. O'Brien: Writing projective representations over subfields. Journal of Algebra, Volume 295, Issue 1, 1 January 2006, Pages 51–61


  1. ^ The Mathematics Genealogy Project
  2. ^ The Product Replacement Algorithm is Polynomial
  3. ^ Journal of Algebra, Volume 300, Issue 1: Computational Algebra Special Issue Celebrating the 65th birthday of Charles Leedham-Green.
  4. ^ Groups and Computation 2006: A Leedham-Green Fest Archived September 28, 2011, at the Wayback Machine..

External links

  • His homepage
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