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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

Provided by:
Kent Academic Repository

Downloaded from
http://kar.kent.ac.uk/23845/2/arXiv1002.4318.pdf

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