2
$\begingroup$

Let $\mathbb F$ be a finite field. Denote by $M_n(\mathbb F)$ the set of matrices of order $n$ over $\mathbb F$. For a matrix $A\in M_n(\mathbb F)$ what is the cardinality of $C_{ M_n(\mathbb F)}(A)$, the centralizer of $A$ in $M_n(\mathbb F)$? There are papers about it?

  • 1
    One messy case is when $A$ is unipotent. A calculation of the centralizer in some of those cases is done in a paper of P. Hall and G. Higman (Proc LMS, 1956)2012-08-19

0 Answers 0