The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings

Urshita Pal

For $R$ a Euclidean number ring, and let ${\Gamma }_n(p)$ be the level-$p$ principal congruence subgroup of ${\text{SL}}_n(R)$. Borel--Serre showed that the cohomology of ${\Gamma }_n(p)$ vanishes a…