The modular counterparts of Cayley's hyperdeterminants

Bulletin of the Australian Mathematical Society

Volumn 57, Issue 3, 1998, Pages 479-492

  Glynn, David G ^a  

^a Te Whare Wananga o Waitaha   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039496428     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700031890     Document Type: Article

References (15)

1. E. Assmus and J.D. Key, Designs and their Codes (Cambridge University Press, Cambridge, 1993).
2. A. Cayley, 'On the theory of linear transformations', Cambr. Math. J. 4 (1845), 193-209.
3. A. Cayley, 'On linear transformations', Cambr. and Dublin Math. J. 1 (1846), 104-122.
4. A. Cayley, 'Note sur un système de certaines formules', J. Reine Angew. Math. 39 (1850), 14-15.
5. A. Cayley, Collected Mathematical Papers 1 (Cambridge University Press, Cambridge, 1889).
6. J.L. Coolidge, A history of geometrical methods (Oxford University Press, Oxford, 1940).
7. L.E. Dickson, History of the theory of numbers, III, Chapter 19 (Chelsea Publishing Co., New York, 1966). (See also Vol I, pp.231-233, with a report on A. Hurwitz' work).
8. C.F. Gauß, Disquisitiones arithmeticae, 1801.
9. D.G. Glynn, 'On cubic curves in projective planes of characteristic two', Australas. J. Combin. 17 (1998), 1-20.
10. D.G. Glynn and J.W.P. Hirschfeld, 'On the classification of geometric codes by polynomial functions', Des. Codes Cryptogr. 6 (1995), 189-204.
11. I.M. Gelfand, M.M. Kapranov and A.V. Zelevinsky, Discriminants, resultants and multidimensional determinants (Birkhäuser, Boston, Basel, Berlin, 1994).
12. R. Hartshorne, Algebraic geometry (Springer, Berlin, Heidelberg, New York, 1983), pp. 332-340.
13. J.W.P. Hirschfeld, Projective geometry over a finite field (Oxford University Press, Oxford, 1979).
14. L. Schläfli, 'Über die Resultante eines Systemes mehrerer algebraischen Gleichungen', Denkschr. der Kaiserlicher Akad. der Wiss., math-naturwiss. Klasse 4 (1852).
15. L. Schläfli, Gesammelte Abhandlungen 2 (Birkhäuser Verlag, Basel, 1953).