Hobson, Ashley and Shank, R.J. (2011) The invariants of the second symmetric power representation of SL_2(F_q). Journal of Pure and Applied Algebra, 215 (10). pp. 2481-2485. ISSN 0022-4049.
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| Official URL http://dx.doi.org/10.1016/j.jpaa.2011.02.006 |
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Abstract
For a prime p>2 and q=p^n, we compute a finite generating set for the SL_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.
| Item Type: | Article |
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| Additional information: | arXiv:1002.4318v1 [math.AC] |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics |
| Depositing User: | R James Shank |
| Date Deposited: | 21 Jun 2010 13:12 |
| Last Modified: | 15 Oct 2012 10:37 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/23845 (The current URI for this page, for reference purposes) |
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