Cohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields

Gilyoung Cheong, Yifeng Huang

Let $(R,\mathfrak{m})$ be a complete discrete valuation ring with the finite residue field $R/\mathfrak{m}={\mathbb{F}}_q$. Given a monic polynomial $P(t)\in R[t]$ whose reduct…