Shirshov’s theorem and representations of semigroups
Allen R. Freedman, Rupak Gupta, Robert M. Guralnick · Pacific Journal of Mathematics · 1997
In [AS], Amitsur and Small observed that if G is a finitely generated group (on a set X), then they were only finitely many possible irreducible representations of dimension n over a field F if the characteristic polynomials of all words (in X) of length at most 2n were fixed. This followed immediately