## Symmetric Functions and Hall Polynomials

- I. G. MACDONALD, E. M. Friedlander, +5 authors Claude Le Bris
- 2010

The number of linear independent algebraic relations among elementary symmetric polynomial functions over finite fields is computed. An algorithm able to find all such relations is described. The algorithm consists essentially of Gauss’ upper triangular form algorithm. It is proved that the basis of the ideal of algebraic relations found by the algorithm… (More)