Room 326
Similarity classes modulo $p^2$ and pairs of commuting matrices
Amritanshu Prasad
IMSc
I will prove that the similarity classes of $n\times n$ matrices with entries in $\mathbf Z/p^2\mathbf Z$ are in bijective correspondence with simultaneous similarity classes of commuting pairs of $n\times n$ matrices with entries in $\mathbf Z/p\mathbf Z$.
Done