Abstract
The Department of Pure Mathematics at the University of Sydney has developed a number of tutorial computer programs. Here we deal principally with Cayley, for the theory of groups [1,2], which has been used for teaching at the University of Sydney since 1975 and at the University of Melbourne since 1982. MATRIX, for linear algebra, is discussed in a variant [4] of the present paper. Both programs will be demonstrated at ICMES.
- John J. Cannon, Interactive tutorial programs for university mathematics, Department of Pure Mathematics, University of Sydney, 1979 (8 pages, out of print).Google Scholar
- John J. Cannon, Software tools for group theory, in "Santa Cruz Conference on Finite Groups", Proceedings of Symposia in Pure Mathematics 37, 495--502. American Mathematical Society, 1980.Google Scholar
- John J. Cannon, "A Language for Group Theory", preprint, Department of Pure Mathematics, University of Sydney, 1982 (365 pages).Google Scholar
- Jim Richardson, MATRIX - Teaching Linear Algebra by Computer, contribution to section on Computers and Tertiary Mathematics of Action Group A5, ICME5, Adelaide, August 1984 (4 pages).Google Scholar
Recommendations
A family of edge-transitive Cayley graphs
AbstractEdge-transitive graphs of order a prime or a product of two distinct primes with any positive integer valency, and of square-free order with valency at most 7 have been classified by a series of papers. In this paper, a complete classification is ...
A classification of regular Cayley maps with trivial Cayley-core for dihedral groups
Let M = CM ( G , X , p ) be a regular Cayley map for the finite group G , and let Aut + ( M ) be the orientation-preserving automorphism group of M . Then G can be regarded as a subgroup of Aut + ( M ) in the sense that G acts on itself by left ...
Automorphisms of Cayley graphs on generalised dicyclic groups
A graph is called a GRR if its automorphism group acts regularly on its vertex-set. Such a graph is necessarily a Cayley graph. Godsil has shown that there are only two infinite families of finite groups that do not admit GRRs: abelian groups and ...
Comments