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A symbolic mathematics system for group theory written by John Cannon of the university of sydney, Australia in 1976.
Cayley was used at about 100 sites but has been superseded by a much more general system, magma.
["An Introduction to the Group Theory Language CAYLEY", J. Cannon, Computational Group Theory, M.D. Atkinson ed, Academic Press 1984, pp. 148-183].
Current version: V3.7, for sun, apollo, vax/vms.