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Invariant theory of finite general linear groups modulo Frobenius powers

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ABSTRACT We prove some cases of a conjecture of Lewis, Reiner and Stanton regarding Hilbert series corresponding to the action of on a polynomial ring modulo Frobenius powers. We also… Click to show full abstract

ABSTRACT We prove some cases of a conjecture of Lewis, Reiner and Stanton regarding Hilbert series corresponding to the action of on a polynomial ring modulo Frobenius powers. We also give a few conjectures about the invariant ring for certain cases that we don’t prove completely.

Keywords: frobenius powers; invariant theory; general linear; finite general; theory finite; modulo frobenius

Journal Title: Communications in Algebra
Year Published: 2017

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