Distribution of cokernels of ($n$+$u$) $\times$ $n$ matrices over ${\mathbb{Z}}_p$

Ling-Sang Tse

Let $n,u\ge 0$, $M$ be a ($n$+$u$) $\times$ $n$ matrices over ${\mathbb{Z}}_p$, and $G$ be a finite abelian p-group group. We find that the probability that the cokernel of $M$ is…