Title | The invariants of the second symmetric power representation of |
Author(s) | Ashley Hobson, R. James Shank |
Type | Article in Journal |
Abstract | For a prime p > 2 and q = p n , we compute a finite generating set for the S L 2 ( F q ) -invariants of the second symmetric power representation, showing the invariants are a hypersurface and the field of fractions is a purely transcendental extension of the coefficient field. As an intermediate result, we show the invariants of the Sylow p -subgroups are also hypersurfaces. |
ISSN | 0022-4049 |
URL |
http://www.sciencedirect.com/science/article/pii/S0022404911000259 |
Language | English |
Journal | Journal of Pure and Applied Algebra |
Volume | 215 |
Number | 10 |
Pages | 2481 - 2485 |
Year | 2011 |
Edition | 0 |
Translation |
No |
Refereed |
No |