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The invariants of the second symmetric power representation of SL_2(F_q)

By Ashley Hobson and R. James Shank

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

Topics: QA150
Publisher: Elsevier Science BV
Year: 2011
OAI identifier: oai:kar.kent.ac.uk:23845

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