Shank, R. James and Hobson, Ashley (2011) The invariants of the third symmetric power representation of SL_2(F_p). Journal of Algebra, 333 (1). pp. 241257. ISSN 00218693. (Full text available)
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Official URL http://dx.doi.org/10.1016/j.jalgebra.2011.02.023 
Abstract
For a prime p>3, we compute a finite generating set for the SL_2(F_p)invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and Kemper.
Item Type:  Article 

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:  11 Jun 2010 13:29 
Last Modified:  30 May 2014 09:47 
Resource URI:  http://kar.kent.ac.uk/id/eprint/24902 (The current URI for this page, for reference purposes) 
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