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arXiv · 1708.06862

Invariant theory of a special group action on irreducible polynomials over finite fields

Lucas Reis
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Abstract

In the past few years, an action of $\mathrm{PGL}_2(\mathbb F_q)$ on the set of irreducible polynomials in $\mathbb F_q[x]$ has been introduced and many questions have been discussed, such as the characterization and number of invariant elements. In this paper, we analyze some recent works on this action and provide full generalizations of them, yielding final theoretical results on the characterization and number of invariant elements.

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Lucas Reis. 2017-08-23. Invariant theory of a special group action on irreducible polynomials over finite fields. https://arxiv.org/abs/1708.06862

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