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 $\mathbf Z/p\mathbf Z$.