# The invariants of the third symmetric power representation of SL_2(F_p)

Shank, R. James, Hobson, Ashley (2011) The invariants of the third symmetric power representation of SL_2(F_p). Journal of Algebra, 333 (1). pp. 241-257. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2011.02.023) (KAR id:24902)

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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 10.1016/j.jalgebra.2011.02.023 Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics James Shank 11 Jun 2010 13:29 UTC 06 May 2020 03:05 UTC https://kar.kent.ac.uk/id/eprint/24902 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-3317-4088