Hobson, Ashley and 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. 24812485. ISSN 00224049. (Full text available)
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Official URL http://dx.doi.org/10.1016/j.jpaa.2011.02.006 
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 psubgroups are also hypersurfaces.
Item Type:  Article 

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:  29 Apr 2014 14:51 
Resource URI:  https://kar.kent.ac.uk/id/eprint/23845 (The current URI for this page, for reference purposes) 
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