Hobson, Ashley, Shank, R. James (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. (doi:10.1016/j.jpaa.2011.02.006) (KAR id:23845)
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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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| DOI/Identification number: | 10.1016/j.jpaa.2011.02.006 |
| Additional information: | arXiv:1002.4318v1 [math.AC] |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | James Shank |
| Date Deposited: | 21 Jun 2010 13:12 UTC |
| Last Modified: | 05 Nov 2024 10:03 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/23845 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Shank, R. James.
| Creator's ORCID: |
 https://orcid.org/0000-0002-3317-4088
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