Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix

Gilyoung Cheong, Yunqi Liang, Michael Strand

Given a prime $p$ and a positive integer $k$, let ${\mathrm{M}}_n(\mathbb{Z}/p^k\mathbb{Z})$ be the ring of $n\times n$ matrices over $\mathbb{Z}/p^k\mathbb{Z}$. We consider t…