Charles Leedham-Green
Charles Leedham-Green | |
|---|---|
 Charles Leedham-Green | |
| Born | |
| Alma mater | University of Oxford |
| Known for | Work on pro-p groups and computational group theory |
| Scientific career | |
| Fields | Mathematician |
| Institutions | University of London |
| 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]
His parents were John Charles Leedham-Green (1902–1984), a surgeon and general practitioner in Southwold, and Gertrude Mary Somerville Caldwell.[2]
Work
[edit]With Leonard Soicher, Leedham-Green designed the product replacement algorithm;[3] 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.[4] On the occasion of his retirement in 2006, the Mathematics Research Centre at Queen Mary held a conference in celebration of his mathematical achievements.[5]
Selected publications
[edit]- 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
- As translator and editor: Newton, Isaac (2021) [1687]. The Mathematical Principles of Natural Philosophy. Translated by Leedham-Green, Charles R. Cambridge: Cambridge University Press. ISBN 9781107020658.
References
[edit]- ^ The Mathematics Genealogy Project
- ^ "Leedham-Green, John Charles (1902 - 1984)". livesonline.rcseng.ac.uk.
- ^ The Product Replacement Algorithm is Polynomial
- ^ Journal of Algebra, Volume 300, Issue 1: Computational Algebra Special Issue Celebrating the 65th birthday of Charles Leedham-Green.
- ^ Groups and Computation 2006: A Leedham-Green Fest Archived September 28, 2011, at the Wayback Machine.
