Charles Leedham-Green Explained
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
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
- 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: Book: Newton, Isaac . Isaac Newton . 2021 . 1687 . The Mathematical Principles of Natural Philosophy . Cambridge . Cambridge University Press . Leedham-Green . Charles R. . 9781107020658.
References
- http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=67215 The Mathematics Genealogy Project
- Web site: Leedham-Green, John Charles (1902 - 1984) . livesonline.rcseng.ac.uk.
- http://citeseer.ist.psu.edu/390703.html The Product Replacement Algorithm is Polynomial
- http://www.sciencedirect.com/science?_ob=PublicationURL&_tockey=%23TOC%236838%232006%23996999998%23623138%23FLP%23&_cdi=6838&_pubType=J&view=c&_auth=y&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=5dad4ad8fe09ef0395d1091dfd449946 Journal of Algebra, Volume 300, Issue 1: Computational Algebra Special Issue Celebrating the 65th birthday of Charles Leedham-Green
- http://www.maths.qmul.ac.uk/~mathres/crlg.html Groups and Computation 2006: A Leedham-Green Fest
External links
