| Full text | |
| Author(s): |
Reis, Lucas
Total Authors: 1
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 100, n. 2, p. 256-267, OCT 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
Let K be a field that admits a cyclic Galois extension of degree n >= 2. The symmetric group S-n acts on K-n by permutation of coordinates. Given a subgroup G of S-n and u is an element of K-n, let V-G(u) be the K-vector space spanned by the orbit of u under the action of G. In this paper we show that, for a special family of groups G of affine type, the dimension of V-G(u) can be computed via the greatest common divisor of certain polynomials in K{[}x]. We present some applications of our results to the cases K = Q and K finite. (AU) | |
| FAPESP's process: | 18/03038-2 - Polynomial maps in finite fields and their applications |
| Grantee: | Lucas da Silva Reis |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |