Proportion of cyclic matrices in maximal reducible matrix algebras

Scott Brown, Michael Giudici, S. P. Glasby +1

Let $\mathrm{M}(V)=\mathrm{M}(n,{\mathbb{F}}_q)$ denote the algebra of $n\times n$ matrices over ${\mathbb{F}}_q$, and let $\mathrm{M}(V{)}_U$ denote the (maximal reducible) subalgebra that norma…