In this talk, I'll introduce the Dickson polynomials, which are a set of invariant polynomials for the general linear group acting on a finite-dimensional vector space over a finite field. I'll give a proof that the Dickson polynomials generate the algebra of invariant polynomials for this group, which is called the Dickson Algebra. My talk will mainly focus on fields isomorphic to the integers modulo a prime $p.$ Some examples will be included.

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