Title: Stable Invariants of Finite General Linear Groups and Symmetric Groups in Odd Characteristic
Author: Larry Smith (AG-Invariantentheorie)
Name of the .PDF file: stable.pdf
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We show that the stable invariants of the finite general linear group
$\GL(n, \F_q)$ over a Galois field $\F_q$ with an odd characteristic
coincide with the Hilbert ideal. The same argument applies to the
tautological representation of the symmetric group in odd
characteristic.